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Simplifying 5(m + 1) = -1(6m + -7) Reorder the terms: 5(1 + m) = -1(6m + -7) (1 * 5 + m * 5) = -1(6m + -7) (5 + 5m) = -1(6m + -7) Reorder the terms: 5 + 5m = -1(-7 + 6m) 5 + 5m = (-7 * -1 + 6m * -1) 5 + 5m = (7 + -6m) Solving 5 + 5m = 7 + -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. 5 + 5m + 6m = 7 + -6m + 6m Combine like terms: 5m + 6m = 11m 5 + 11m = 7 + -6m + 6m Combine like terms: -6m + 6m = 0 5 + 11m = 7 + 0 5 + 11m = 7 Add '-5' to each side of the equation. 5 + -5 + 11m = 7 + -5 Combine like terms: 5 + -5 = 0 0 + 11m = 7 + -5 11m = 7 + -5 Combine like terms: 7 + -5 = 2 11m = 2 Divide each side by '11'. m = 0.1818181818 Simplifying m = 0.1818181818
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