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Simplifying 37 = -2(23 + -1m) + 3(m + -4) 37 = (23 * -2 + -1m * -2) + 3(m + -4) 37 = (-46 + 2m) + 3(m + -4) Reorder the terms: 37 = -46 + 2m + 3(-4 + m) 37 = -46 + 2m + (-4 * 3 + m * 3) 37 = -46 + 2m + (-12 + 3m) Reorder the terms: 37 = -46 + -12 + 2m + 3m Combine like terms: -46 + -12 = -58 37 = -58 + 2m + 3m Combine like terms: 2m + 3m = 5m 37 = -58 + 5m Solving 37 = -58 + 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. 37 + -5m = -58 + 5m + -5m Combine like terms: 5m + -5m = 0 37 + -5m = -58 + 0 37 + -5m = -58 Add '-37' to each side of the equation. 37 + -37 + -5m = -58 + -37 Combine like terms: 37 + -37 = 0 0 + -5m = -58 + -37 -5m = -58 + -37 Combine like terms: -58 + -37 = -95 -5m = -95 Divide each side by '-5'. m = 19 Simplifying m = 19
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