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Simplifying -5(4 + 2m) = -7m + -38 (4 * -5 + 2m * -5) = -7m + -38 (-20 + -10m) = -7m + -38 Reorder the terms: -20 + -10m = -38 + -7m Solving -20 + -10m = -38 + -7m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '7m' to each side of the equation. -20 + -10m + 7m = -38 + -7m + 7m Combine like terms: -10m + 7m = -3m -20 + -3m = -38 + -7m + 7m Combine like terms: -7m + 7m = 0 -20 + -3m = -38 + 0 -20 + -3m = -38 Add '20' to each side of the equation. -20 + 20 + -3m = -38 + 20 Combine like terms: -20 + 20 = 0 0 + -3m = -38 + 20 -3m = -38 + 20 Combine like terms: -38 + 20 = -18 -3m = -18 Divide each side by '-3'. m = 6 Simplifying m = 6
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