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Simplifying m + 5 = -5(m + 1) Reorder the terms: 5 + m = -5(m + 1) Reorder the terms: 5 + m = -5(1 + m) 5 + m = (1 * -5 + m * -5) 5 + m = (-5 + -5m) Solving 5 + m = -5 + -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. 5 + m + 5m = -5 + -5m + 5m Combine like terms: m + 5m = 6m 5 + 6m = -5 + -5m + 5m Combine like terms: -5m + 5m = 0 5 + 6m = -5 + 0 5 + 6m = -5 Add '-5' to each side of the equation. 5 + -5 + 6m = -5 + -5 Combine like terms: 5 + -5 = 0 0 + 6m = -5 + -5 6m = -5 + -5 Combine like terms: -5 + -5 = -10 6m = -10 Divide each side by '6'. m = -1.666666667 Simplifying m = -1.666666667
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