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Simplifying 5(m + 2) = -6(m + 7) Reorder the terms: 5(2 + m) = -6(m + 7) (2 * 5 + m * 5) = -6(m + 7) (10 + 5m) = -6(m + 7) Reorder the terms: 10 + 5m = -6(7 + m) 10 + 5m = (7 * -6 + m * -6) 10 + 5m = (-42 + -6m) Solving 10 + 5m = -42 + -6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '6m' to each side of the equation. 10 + 5m + 6m = -42 + -6m + 6m Combine like terms: 5m + 6m = 11m 10 + 11m = -42 + -6m + 6m Combine like terms: -6m + 6m = 0 10 + 11m = -42 + 0 10 + 11m = -42 Add '-10' to each side of the equation. 10 + -10 + 11m = -42 + -10 Combine like terms: 10 + -10 = 0 0 + 11m = -42 + -10 11m = -42 + -10 Combine like terms: -42 + -10 = -52 11m = -52 Divide each side by '11'. m = -4.727272727 Simplifying m = -4.727272727
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