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Simplifying m + -3 + 7 = -5(8 + 3m) + -4(1 + -1m) Reorder the terms: -3 + 7 + m = -5(8 + 3m) + -4(1 + -1m) Combine like terms: -3 + 7 = 4 4 + m = -5(8 + 3m) + -4(1 + -1m) 4 + m = (8 * -5 + 3m * -5) + -4(1 + -1m) 4 + m = (-40 + -15m) + -4(1 + -1m) 4 + m = -40 + -15m + (1 * -4 + -1m * -4) 4 + m = -40 + -15m + (-4 + 4m) Reorder the terms: 4 + m = -40 + -4 + -15m + 4m Combine like terms: -40 + -4 = -44 4 + m = -44 + -15m + 4m Combine like terms: -15m + 4m = -11m 4 + m = -44 + -11m Solving 4 + m = -44 + -11m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '11m' to each side of the equation. 4 + m + 11m = -44 + -11m + 11m Combine like terms: m + 11m = 12m 4 + 12m = -44 + -11m + 11m Combine like terms: -11m + 11m = 0 4 + 12m = -44 + 0 4 + 12m = -44 Add '-4' to each side of the equation. 4 + -4 + 12m = -44 + -4 Combine like terms: 4 + -4 = 0 0 + 12m = -44 + -4 12m = -44 + -4 Combine like terms: -44 + -4 = -48 12m = -48 Divide each side by '12'. m = -4 Simplifying m = -4
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