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Simplifying -4(m + 1) + 3 = 3(2 + -1m) Reorder the terms: -4(1 + m) + 3 = 3(2 + -1m) (1 * -4 + m * -4) + 3 = 3(2 + -1m) (-4 + -4m) + 3 = 3(2 + -1m) Reorder the terms: -4 + 3 + -4m = 3(2 + -1m) Combine like terms: -4 + 3 = -1 -1 + -4m = 3(2 + -1m) -1 + -4m = (2 * 3 + -1m * 3) -1 + -4m = (6 + -3m) Solving -1 + -4m = 6 + -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. -1 + -4m + 3m = 6 + -3m + 3m Combine like terms: -4m + 3m = -1m -1 + -1m = 6 + -3m + 3m Combine like terms: -3m + 3m = 0 -1 + -1m = 6 + 0 -1 + -1m = 6 Add '1' to each side of the equation. -1 + 1 + -1m = 6 + 1 Combine like terms: -1 + 1 = 0 0 + -1m = 6 + 1 -1m = 6 + 1 Combine like terms: 6 + 1 = 7 -1m = 7 Divide each side by '-1'. m = -7 Simplifying m = -7
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