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Simplifying 7(1 + -7m) = -4(-6 + 12m) + -10 (1 * 7 + -7m * 7) = -4(-6 + 12m) + -10 (7 + -49m) = -4(-6 + 12m) + -10 7 + -49m = (-6 * -4 + 12m * -4) + -10 7 + -49m = (24 + -48m) + -10 Reorder the terms: 7 + -49m = 24 + -10 + -48m Combine like terms: 24 + -10 = 14 7 + -49m = 14 + -48m Solving 7 + -49m = 14 + -48m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '48m' to each side of the equation. 7 + -49m + 48m = 14 + -48m + 48m Combine like terms: -49m + 48m = -1m 7 + -1m = 14 + -48m + 48m Combine like terms: -48m + 48m = 0 7 + -1m = 14 + 0 7 + -1m = 14 Add '-7' to each side of the equation. 7 + -7 + -1m = 14 + -7 Combine like terms: 7 + -7 = 0 0 + -1m = 14 + -7 -1m = 14 + -7 Combine like terms: 14 + -7 = 7 -1m = 7 Divide each side by '-1'. m = -7 Simplifying m = -7
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