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Simplifying -6(m + 1) + 8m = -9 + 5m Reorder the terms: -6(1 + m) + 8m = -9 + 5m (1 * -6 + m * -6) + 8m = -9 + 5m (-6 + -6m) + 8m = -9 + 5m Combine like terms: -6m + 8m = 2m -6 + 2m = -9 + 5m Solving -6 + 2m = -9 + 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. -6 + 2m + -5m = -9 + 5m + -5m Combine like terms: 2m + -5m = -3m -6 + -3m = -9 + 5m + -5m Combine like terms: 5m + -5m = 0 -6 + -3m = -9 + 0 -6 + -3m = -9 Add '6' to each side of the equation. -6 + 6 + -3m = -9 + 6 Combine like terms: -6 + 6 = 0 0 + -3m = -9 + 6 -3m = -9 + 6 Combine like terms: -9 + 6 = -3 -3m = -3 Divide each side by '-3'. m = 1 Simplifying m = 1
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