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Simplifying 5(-6 + -2m) = -38 + -8m (-6 * 5 + -2m * 5) = -38 + -8m (-30 + -10m) = -38 + -8m Solving -30 + -10m = -38 + -8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '8m' to each side of the equation. -30 + -10m + 8m = -38 + -8m + 8m Combine like terms: -10m + 8m = -2m -30 + -2m = -38 + -8m + 8m Combine like terms: -8m + 8m = 0 -30 + -2m = -38 + 0 -30 + -2m = -38 Add '30' to each side of the equation. -30 + 30 + -2m = -38 + 30 Combine like terms: -30 + 30 = 0 0 + -2m = -38 + 30 -2m = -38 + 30 Combine like terms: -38 + 30 = -8 -2m = -8 Divide each side by '-2'. m = 4 Simplifying m = 4
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