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Simplifying -2(4m + 2) + 4(m + -7) = 0 Reorder the terms: -2(2 + 4m) + 4(m + -7) = 0 (2 * -2 + 4m * -2) + 4(m + -7) = 0 (-4 + -8m) + 4(m + -7) = 0 Reorder the terms: -4 + -8m + 4(-7 + m) = 0 -4 + -8m + (-7 * 4 + m * 4) = 0 -4 + -8m + (-28 + 4m) = 0 Reorder the terms: -4 + -28 + -8m + 4m = 0 Combine like terms: -4 + -28 = -32 -32 + -8m + 4m = 0 Combine like terms: -8m + 4m = -4m -32 + -4m = 0 Solving -32 + -4m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + -4m = 0 + 32 Combine like terms: -32 + 32 = 0 0 + -4m = 0 + 32 -4m = 0 + 32 Combine like terms: 0 + 32 = 32 -4m = 32 Divide each side by '-4'. m = -8 Simplifying m = -8
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