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Simplifying 4(2m + -1) + -3 = 2(4m + -1) + -1(2 + -1m) Reorder the terms: 4(-1 + 2m) + -3 = 2(4m + -1) + -1(2 + -1m) (-1 * 4 + 2m * 4) + -3 = 2(4m + -1) + -1(2 + -1m) (-4 + 8m) + -3 = 2(4m + -1) + -1(2 + -1m) Reorder the terms: -4 + -3 + 8m = 2(4m + -1) + -1(2 + -1m) Combine like terms: -4 + -3 = -7 -7 + 8m = 2(4m + -1) + -1(2 + -1m) Reorder the terms: -7 + 8m = 2(-1 + 4m) + -1(2 + -1m) -7 + 8m = (-1 * 2 + 4m * 2) + -1(2 + -1m) -7 + 8m = (-2 + 8m) + -1(2 + -1m) -7 + 8m = -2 + 8m + (2 * -1 + -1m * -1) -7 + 8m = -2 + 8m + (-2 + 1m) Reorder the terms: -7 + 8m = -2 + -2 + 8m + 1m Combine like terms: -2 + -2 = -4 -7 + 8m = -4 + 8m + 1m Combine like terms: 8m + 1m = 9m -7 + 8m = -4 + 9m Solving -7 + 8m = -4 + 9m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-9m' to each side of the equation. -7 + 8m + -9m = -4 + 9m + -9m Combine like terms: 8m + -9m = -1m -7 + -1m = -4 + 9m + -9m Combine like terms: 9m + -9m = 0 -7 + -1m = -4 + 0 -7 + -1m = -4 Add '7' to each side of the equation. -7 + 7 + -1m = -4 + 7 Combine like terms: -7 + 7 = 0 0 + -1m = -4 + 7 -1m = -4 + 7 Combine like terms: -4 + 7 = 3 -1m = 3 Divide each side by '-1'. m = -3 Simplifying m = -3
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