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Simplifying 5(m + 9) = -4(10 + 3m) Reorder the terms: 5(9 + m) = -4(10 + 3m) (9 * 5 + m * 5) = -4(10 + 3m) (45 + 5m) = -4(10 + 3m) 45 + 5m = (10 * -4 + 3m * -4) 45 + 5m = (-40 + -12m) Solving 45 + 5m = -40 + -12m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '12m' to each side of the equation. 45 + 5m + 12m = -40 + -12m + 12m Combine like terms: 5m + 12m = 17m 45 + 17m = -40 + -12m + 12m Combine like terms: -12m + 12m = 0 45 + 17m = -40 + 0 45 + 17m = -40 Add '-45' to each side of the equation. 45 + -45 + 17m = -40 + -45 Combine like terms: 45 + -45 = 0 0 + 17m = -40 + -45 17m = -40 + -45 Combine like terms: -40 + -45 = -85 17m = -85 Divide each side by '17'. m = -5 Simplifying m = -5
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