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Simplifying 12 + -1(5m + -3) = 22 + -3m Reorder the terms: 12 + -1(-3 + 5m) = 22 + -3m 12 + (-3 * -1 + 5m * -1) = 22 + -3m 12 + (3 + -5m) = 22 + -3m Combine like terms: 12 + 3 = 15 15 + -5m = 22 + -3m Solving 15 + -5m = 22 + -3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '3m' to each side of the equation. 15 + -5m + 3m = 22 + -3m + 3m Combine like terms: -5m + 3m = -2m 15 + -2m = 22 + -3m + 3m Combine like terms: -3m + 3m = 0 15 + -2m = 22 + 0 15 + -2m = 22 Add '-15' to each side of the equation. 15 + -15 + -2m = 22 + -15 Combine like terms: 15 + -15 = 0 0 + -2m = 22 + -15 -2m = 22 + -15 Combine like terms: 22 + -15 = 7 -2m = 7 Divide each side by '-2'. m = -3.5 Simplifying m = -3.5
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