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Simplifying 4(2m + -5) + -2(5m + 6) = -14 Reorder the terms: 4(-5 + 2m) + -2(5m + 6) = -14 (-5 * 4 + 2m * 4) + -2(5m + 6) = -14 (-20 + 8m) + -2(5m + 6) = -14 Reorder the terms: -20 + 8m + -2(6 + 5m) = -14 -20 + 8m + (6 * -2 + 5m * -2) = -14 -20 + 8m + (-12 + -10m) = -14 Reorder the terms: -20 + -12 + 8m + -10m = -14 Combine like terms: -20 + -12 = -32 -32 + 8m + -10m = -14 Combine like terms: 8m + -10m = -2m -32 + -2m = -14 Solving -32 + -2m = -14 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 + -2m = -14 + 32 Combine like terms: -32 + 32 = 0 0 + -2m = -14 + 32 -2m = -14 + 32 Combine like terms: -14 + 32 = 18 -2m = 18 Divide each side by '-2'. m = -9 Simplifying m = -9
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