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Simplifying -7(n + 3) + -8(1 + 8m) = 0 Reorder the terms: -7(3 + n) + -8(1 + 8m) = 0 (3 * -7 + n * -7) + -8(1 + 8m) = 0 (-21 + -7n) + -8(1 + 8m) = 0 -21 + -7n + (1 * -8 + 8m * -8) = 0 -21 + -7n + (-8 + -64m) = 0 Reorder the terms: -21 + -8 + -64m + -7n = 0 Combine like terms: -21 + -8 = -29 -29 + -64m + -7n = 0 Solving -29 + -64m + -7n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '29' to each side of the equation. -29 + -64m + 29 + -7n = 0 + 29 Reorder the terms: -29 + 29 + -64m + -7n = 0 + 29 Combine like terms: -29 + 29 = 0 0 + -64m + -7n = 0 + 29 -64m + -7n = 0 + 29 Combine like terms: 0 + 29 = 29 -64m + -7n = 29 Add '7n' to each side of the equation. -64m + -7n + 7n = 29 + 7n Combine like terms: -7n + 7n = 0 -64m + 0 = 29 + 7n -64m = 29 + 7n Divide each side by '-64'. m = -0.453125 + -0.109375n Simplifying m = -0.453125 + -0.109375n
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