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Simplifying 3(m + -2) + -5 = 8 + -6(m + -4) Reorder the terms: 3(-2 + m) + -5 = 8 + -6(m + -4) (-2 * 3 + m * 3) + -5 = 8 + -6(m + -4) (-6 + 3m) + -5 = 8 + -6(m + -4) Reorder the terms: -6 + -5 + 3m = 8 + -6(m + -4) Combine like terms: -6 + -5 = -11 -11 + 3m = 8 + -6(m + -4) Reorder the terms: -11 + 3m = 8 + -6(-4 + m) -11 + 3m = 8 + (-4 * -6 + m * -6) -11 + 3m = 8 + (24 + -6m) Combine like terms: 8 + 24 = 32 -11 + 3m = 32 + -6m Solving -11 + 3m = 32 + -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. -11 + 3m + 6m = 32 + -6m + 6m Combine like terms: 3m + 6m = 9m -11 + 9m = 32 + -6m + 6m Combine like terms: -6m + 6m = 0 -11 + 9m = 32 + 0 -11 + 9m = 32 Add '11' to each side of the equation. -11 + 11 + 9m = 32 + 11 Combine like terms: -11 + 11 = 0 0 + 9m = 32 + 11 9m = 32 + 11 Combine like terms: 32 + 11 = 43 9m = 43 Divide each side by '9'. m = 4.777777778 Simplifying m = 4.777777778
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