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Simplifying 12(1 + 2m) = -5(1 + -5m) (1 * 12 + 2m * 12) = -5(1 + -5m) (12 + 24m) = -5(1 + -5m) 12 + 24m = (1 * -5 + -5m * -5) 12 + 24m = (-5 + 25m) Solving 12 + 24m = -5 + 25m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-25m' to each side of the equation. 12 + 24m + -25m = -5 + 25m + -25m Combine like terms: 24m + -25m = -1m 12 + -1m = -5 + 25m + -25m Combine like terms: 25m + -25m = 0 12 + -1m = -5 + 0 12 + -1m = -5 Add '-12' to each side of the equation. 12 + -12 + -1m = -5 + -12 Combine like terms: 12 + -12 = 0 0 + -1m = -5 + -12 -1m = -5 + -12 Combine like terms: -5 + -12 = -17 -1m = -17 Divide each side by '-1'. m = 17 Simplifying m = 17
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