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Simplifying 6(m + -2) + 5 = 3m + -1(7 + 5m) Reorder the terms: 6(-2 + m) + 5 = 3m + -1(7 + 5m) (-2 * 6 + m * 6) + 5 = 3m + -1(7 + 5m) (-12 + 6m) + 5 = 3m + -1(7 + 5m) Reorder the terms: -12 + 5 + 6m = 3m + -1(7 + 5m) Combine like terms: -12 + 5 = -7 -7 + 6m = 3m + -1(7 + 5m) -7 + 6m = 3m + (7 * -1 + 5m * -1) -7 + 6m = 3m + (-7 + -5m) Reorder the terms: -7 + 6m = -7 + 3m + -5m Combine like terms: 3m + -5m = -2m -7 + 6m = -7 + -2m Add '7' to each side of the equation. -7 + 7 + 6m = -7 + 7 + -2m Combine like terms: -7 + 7 = 0 0 + 6m = -7 + 7 + -2m 6m = -7 + 7 + -2m Combine like terms: -7 + 7 = 0 6m = 0 + -2m 6m = -2m Solving 6m = -2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '2m' to each side of the equation. 6m + 2m = -2m + 2m Combine like terms: 6m + 2m = 8m 8m = -2m + 2m Combine like terms: -2m + 2m = 0 8m = 0 Divide each side by '8'. m = 0 Simplifying m = 0
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