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Simplifying -7m + 6 + -5(m + 1) = 4m + -2 Reorder the terms: -7m + 6 + -5(1 + m) = 4m + -2 -7m + 6 + (1 * -5 + m * -5) = 4m + -2 -7m + 6 + (-5 + -5m) = 4m + -2 Reorder the terms: 6 + -5 + -7m + -5m = 4m + -2 Combine like terms: 6 + -5 = 1 1 + -7m + -5m = 4m + -2 Combine like terms: -7m + -5m = -12m 1 + -12m = 4m + -2 Reorder the terms: 1 + -12m = -2 + 4m Solving 1 + -12m = -2 + 4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4m' to each side of the equation. 1 + -12m + -4m = -2 + 4m + -4m Combine like terms: -12m + -4m = -16m 1 + -16m = -2 + 4m + -4m Combine like terms: 4m + -4m = 0 1 + -16m = -2 + 0 1 + -16m = -2 Add '-1' to each side of the equation. 1 + -1 + -16m = -2 + -1 Combine like terms: 1 + -1 = 0 0 + -16m = -2 + -1 -16m = -2 + -1 Combine like terms: -2 + -1 = -3 -16m = -3 Divide each side by '-16'. m = 0.1875 Simplifying m = 0.1875
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