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Simplifying 46 = -5(m + 3) + -7(m + -7) Reorder the terms: 46 = -5(3 + m) + -7(m + -7) 46 = (3 * -5 + m * -5) + -7(m + -7) 46 = (-15 + -5m) + -7(m + -7) Reorder the terms: 46 = -15 + -5m + -7(-7 + m) 46 = -15 + -5m + (-7 * -7 + m * -7) 46 = -15 + -5m + (49 + -7m) Reorder the terms: 46 = -15 + 49 + -5m + -7m Combine like terms: -15 + 49 = 34 46 = 34 + -5m + -7m Combine like terms: -5m + -7m = -12m 46 = 34 + -12m Solving 46 = 34 + -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. 46 + 12m = 34 + -12m + 12m Combine like terms: -12m + 12m = 0 46 + 12m = 34 + 0 46 + 12m = 34 Add '-46' to each side of the equation. 46 + -46 + 12m = 34 + -46 Combine like terms: 46 + -46 = 0 0 + 12m = 34 + -46 12m = 34 + -46 Combine like terms: 34 + -46 = -12 12m = -12 Divide each side by '12'. m = -1 Simplifying m = -1
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