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Simplifying -2(m + 3) + -4m + -2(1 + -1m) + 7 = 0 Reorder the terms: -2(3 + m) + -4m + -2(1 + -1m) + 7 = 0 (3 * -2 + m * -2) + -4m + -2(1 + -1m) + 7 = 0 (-6 + -2m) + -4m + -2(1 + -1m) + 7 = 0 -6 + -2m + -4m + (1 * -2 + -1m * -2) + 7 = 0 -6 + -2m + -4m + (-2 + 2m) + 7 = 0 Reorder the terms: -6 + -2 + 7 + -2m + -4m + 2m = 0 Combine like terms: -6 + -2 = -8 -8 + 7 + -2m + -4m + 2m = 0 Combine like terms: -8 + 7 = -1 -1 + -2m + -4m + 2m = 0 Combine like terms: -2m + -4m = -6m -1 + -6m + 2m = 0 Combine like terms: -6m + 2m = -4m -1 + -4m = 0 Solving -1 + -4m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -4m = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -4m = 0 + 1 -4m = 0 + 1 Combine like terms: 0 + 1 = 1 -4m = 1 Divide each side by '-4'. m = -0.25 Simplifying m = -0.25
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