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Simplifying 42 = -2(22 + -1m) + 3(m + -3) 42 = (22 * -2 + -1m * -2) + 3(m + -3) 42 = (-44 + 2m) + 3(m + -3) Reorder the terms: 42 = -44 + 2m + 3(-3 + m) 42 = -44 + 2m + (-3 * 3 + m * 3) 42 = -44 + 2m + (-9 + 3m) Reorder the terms: 42 = -44 + -9 + 2m + 3m Combine like terms: -44 + -9 = -53 42 = -53 + 2m + 3m Combine like terms: 2m + 3m = 5m 42 = -53 + 5m Solving 42 = -53 + 5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5m' to each side of the equation. 42 + -5m = -53 + 5m + -5m Combine like terms: 5m + -5m = 0 42 + -5m = -53 + 0 42 + -5m = -53 Add '-42' to each side of the equation. 42 + -42 + -5m = -53 + -42 Combine like terms: 42 + -42 = 0 0 + -5m = -53 + -42 -5m = -53 + -42 Combine like terms: -53 + -42 = -95 -5m = -95 Divide each side by '-5'. m = 19 Simplifying m = 19
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