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Simplifying m + -12 + 2m + 2 = 2 + 2(4m + -5) Reorder the terms: -12 + 2 + m + 2m = 2 + 2(4m + -5) Combine like terms: -12 + 2 = -10 -10 + m + 2m = 2 + 2(4m + -5) Combine like terms: m + 2m = 3m -10 + 3m = 2 + 2(4m + -5) Reorder the terms: -10 + 3m = 2 + 2(-5 + 4m) -10 + 3m = 2 + (-5 * 2 + 4m * 2) -10 + 3m = 2 + (-10 + 8m) Combine like terms: 2 + -10 = -8 -10 + 3m = -8 + 8m Solving -10 + 3m = -8 + 8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-8m' to each side of the equation. -10 + 3m + -8m = -8 + 8m + -8m Combine like terms: 3m + -8m = -5m -10 + -5m = -8 + 8m + -8m Combine like terms: 8m + -8m = 0 -10 + -5m = -8 + 0 -10 + -5m = -8 Add '10' to each side of the equation. -10 + 10 + -5m = -8 + 10 Combine like terms: -10 + 10 = 0 0 + -5m = -8 + 10 -5m = -8 + 10 Combine like terms: -8 + 10 = 2 -5m = 2 Divide each side by '-5'. m = -0.4 Simplifying m = -0.4
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