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Simplifying -3(-14 + 4m) = -5(3 + -9m) (-14 * -3 + 4m * -3) = -5(3 + -9m) (42 + -12m) = -5(3 + -9m) 42 + -12m = (3 * -5 + -9m * -5) 42 + -12m = (-15 + 45m) Solving 42 + -12m = -15 + 45m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-45m' to each side of the equation. 42 + -12m + -45m = -15 + 45m + -45m Combine like terms: -12m + -45m = -57m 42 + -57m = -15 + 45m + -45m Combine like terms: 45m + -45m = 0 42 + -57m = -15 + 0 42 + -57m = -15 Add '-42' to each side of the equation. 42 + -42 + -57m = -15 + -42 Combine like terms: 42 + -42 = 0 0 + -57m = -15 + -42 -57m = -15 + -42 Combine like terms: -15 + -42 = -57 -57m = -57 Divide each side by '-57'. m = 1 Simplifying m = 1
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