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Simplifying -1(5 + m) + -3(m + 2) = 6m + -3 (5 * -1 + m * -1) + -3(m + 2) = 6m + -3 (-5 + -1m) + -3(m + 2) = 6m + -3 Reorder the terms: -5 + -1m + -3(2 + m) = 6m + -3 -5 + -1m + (2 * -3 + m * -3) = 6m + -3 -5 + -1m + (-6 + -3m) = 6m + -3 Reorder the terms: -5 + -6 + -1m + -3m = 6m + -3 Combine like terms: -5 + -6 = -11 -11 + -1m + -3m = 6m + -3 Combine like terms: -1m + -3m = -4m -11 + -4m = 6m + -3 Reorder the terms: -11 + -4m = -3 + 6m Solving -11 + -4m = -3 + 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 + -4m + -6m = -3 + 6m + -6m Combine like terms: -4m + -6m = -10m -11 + -10m = -3 + 6m + -6m Combine like terms: 6m + -6m = 0 -11 + -10m = -3 + 0 -11 + -10m = -3 Add '11' to each side of the equation. -11 + 11 + -10m = -3 + 11 Combine like terms: -11 + 11 = 0 0 + -10m = -3 + 11 -10m = -3 + 11 Combine like terms: -3 + 11 = 8 -10m = 8 Divide each side by '-10'. m = -0.8 Simplifying m = -0.8
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