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Simplifying 7(1 + 7m) = -8(1 + -8m) (1 * 7 + 7m * 7) = -8(1 + -8m) (7 + 49m) = -8(1 + -8m) 7 + 49m = (1 * -8 + -8m * -8) 7 + 49m = (-8 + 64m) Solving 7 + 49m = -8 + 64m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-64m' to each side of the equation. 7 + 49m + -64m = -8 + 64m + -64m Combine like terms: 49m + -64m = -15m 7 + -15m = -8 + 64m + -64m Combine like terms: 64m + -64m = 0 7 + -15m = -8 + 0 7 + -15m = -8 Add '-7' to each side of the equation. 7 + -7 + -15m = -8 + -7 Combine like terms: 7 + -7 = 0 0 + -15m = -8 + -7 -15m = -8 + -7 Combine like terms: -8 + -7 = -15 -15m = -15 Divide each side by '-15'. m = 1 Simplifying m = 1
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