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Simplifying 5m + -2(m + 4) = -3(m + 2) + -5 Reorder the terms: 5m + -2(4 + m) = -3(m + 2) + -5 5m + (4 * -2 + m * -2) = -3(m + 2) + -5 5m + (-8 + -2m) = -3(m + 2) + -5 Reorder the terms: -8 + 5m + -2m = -3(m + 2) + -5 Combine like terms: 5m + -2m = 3m -8 + 3m = -3(m + 2) + -5 Reorder the terms: -8 + 3m = -3(2 + m) + -5 -8 + 3m = (2 * -3 + m * -3) + -5 -8 + 3m = (-6 + -3m) + -5 Reorder the terms: -8 + 3m = -6 + -5 + -3m Combine like terms: -6 + -5 = -11 -8 + 3m = -11 + -3m Solving -8 + 3m = -11 + -3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '3m' to each side of the equation. -8 + 3m + 3m = -11 + -3m + 3m Combine like terms: 3m + 3m = 6m -8 + 6m = -11 + -3m + 3m Combine like terms: -3m + 3m = 0 -8 + 6m = -11 + 0 -8 + 6m = -11 Add '8' to each side of the equation. -8 + 8 + 6m = -11 + 8 Combine like terms: -8 + 8 = 0 0 + 6m = -11 + 8 6m = -11 + 8 Combine like terms: -11 + 8 = -3 6m = -3 Divide each side by '6'. m = -0.5 Simplifying m = -0.5
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