Study "algebra", a flashcard deck on FORKSAI.
How do you solve the equation 1 + 6m - 4 = -15 for m?
First, combine the constant terms on the left side: 6m - 3 = -15. Next, add 3 to both sides: 6m = -12. Finally, divide by 6 to find m = -2.
Explain the steps to solve 12 = -4n + 6n for n.
Begin by combining the like terms on the right side: 12 = 2n. Then, divide both sides by 2 to isolate n, resulting in n = 6.
Describe the process to solve 6(-3 + 5x) = -258 for x.
Start by distributing the 6 on the left side: -18 + 30x = -258. Then, add 18 to both sides: 30x = -240. Finally, divide by 30 to get x = -8.
What are the steps to solve -87 = -3(1 + 4r) for r?
First, distribute the -3 on the right side: -87 = -3 - 12r. Next, add 3 to both sides: -84 = -12r. Finally, divide by -12 to find r = 7.
Explain how to solve -161 = -7r + 7(3r - 7) for r.
Begin by distributing the 7 on the right side: -161 = -7r + 21r - 49. Combine like terms: -161 = 14r - 49. Add 49 to both sides: -112 = 14r. Finally, divide by 14 to get r = -8.
How do you solve -33 + 7x = 5(3x + 3) for x?
Begin by distributing the 5 on the right side: -33 + 7x = 15x + 15. Subtract 7x from both sides: -33 = 8x + 15. Subtract 15 from both sides: -48 = 8x. Finally, divide by 8 to get x = -6.