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Simplifying -2(m + 3) + -4m = 2(1 + -1m) + 7 Reorder the terms: -2(3 + m) + -4m = 2(1 + -1m) + 7 (3 * -2 + m * -2) + -4m = 2(1 + -1m) + 7 (-6 + -2m) + -4m = 2(1 + -1m) + 7 Combine like terms: -2m + -4m = -6m -6 + -6m = 2(1 + -1m) + 7 -6 + -6m = (1 * 2 + -1m * 2) + 7 -6 + -6m = (2 + -2m) + 7 Reorder the terms: -6 + -6m = 2 + 7 + -2m Combine like terms: 2 + 7 = 9 -6 + -6m = 9 + -2m Solving -6 + -6m = 9 + -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. -6 + -6m + 2m = 9 + -2m + 2m Combine like terms: -6m + 2m = -4m -6 + -4m = 9 + -2m + 2m Combine like terms: -2m + 2m = 0 -6 + -4m = 9 + 0 -6 + -4m = 9 Add '6' to each side of the equation. -6 + 6 + -4m = 9 + 6 Combine like terms: -6 + 6 = 0 0 + -4m = 9 + 6 -4m = 9 + 6 Combine like terms: 9 + 6 = 15 -4m = 15 Divide each side by '-4'. m = -3.75 Simplifying m = -3.75
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