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Simplifying 3(m + -2) + -5 = 8 + -2(m + -2) Reorder the terms: 3(-2 + m) + -5 = 8 + -2(m + -2) (-2 * 3 + m * 3) + -5 = 8 + -2(m + -2) (-6 + 3m) + -5 = 8 + -2(m + -2) Reorder the terms: -6 + -5 + 3m = 8 + -2(m + -2) Combine like terms: -6 + -5 = -11 -11 + 3m = 8 + -2(m + -2) Reorder the terms: -11 + 3m = 8 + -2(-2 + m) -11 + 3m = 8 + (-2 * -2 + m * -2) -11 + 3m = 8 + (4 + -2m) Combine like terms: 8 + 4 = 12 -11 + 3m = 12 + -2m Solving -11 + 3m = 12 + -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. -11 + 3m + 2m = 12 + -2m + 2m Combine like terms: 3m + 2m = 5m -11 + 5m = 12 + -2m + 2m Combine like terms: -2m + 2m = 0 -11 + 5m = 12 + 0 -11 + 5m = 12 Add '11' to each side of the equation. -11 + 11 + 5m = 12 + 11 Combine like terms: -11 + 11 = 0 0 + 5m = 12 + 11 5m = 12 + 11 Combine like terms: 12 + 11 = 23 5m = 23 Divide each side by '5'. m = 4.6 Simplifying m = 4.6
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