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Simplifying 4m + -1(6m + 5) + 2 = 8m + 3(4 + -3m) Reorder the terms: 4m + -1(5 + 6m) + 2 = 8m + 3(4 + -3m) 4m + (5 * -1 + 6m * -1) + 2 = 8m + 3(4 + -3m) 4m + (-5 + -6m) + 2 = 8m + 3(4 + -3m) Reorder the terms: -5 + 2 + 4m + -6m = 8m + 3(4 + -3m) Combine like terms: -5 + 2 = -3 -3 + 4m + -6m = 8m + 3(4 + -3m) Combine like terms: 4m + -6m = -2m -3 + -2m = 8m + 3(4 + -3m) -3 + -2m = 8m + (4 * 3 + -3m * 3) -3 + -2m = 8m + (12 + -9m) Reorder the terms: -3 + -2m = 12 + 8m + -9m Combine like terms: 8m + -9m = -1m -3 + -2m = 12 + -1m Solving -3 + -2m = 12 + -1m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add 'm' to each side of the equation. -3 + -2m + m = 12 + -1m + m Combine like terms: -2m + m = -1m -3 + -1m = 12 + -1m + m Combine like terms: -1m + m = 0 -3 + -1m = 12 + 0 -3 + -1m = 12 Add '3' to each side of the equation. -3 + 3 + -1m = 12 + 3 Combine like terms: -3 + 3 = 0 0 + -1m = 12 + 3 -1m = 12 + 3 Combine like terms: 12 + 3 = 15 -1m = 15 Divide each side by '-1'. m = -15 Simplifying m = -15
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