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Simplifying -178 = 6(3m + -8) + 8m Reorder the terms: -178 = 6(-8 + 3m) + 8m -178 = (-8 * 6 + 3m * 6) + 8m -178 = (-48 + 18m) + 8m Combine like terms: 18m + 8m = 26m -178 = -48 + 26m Solving -178 = -48 + 26m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-26m' to each side of the equation. -178 + -26m = -48 + 26m + -26m Combine like terms: 26m + -26m = 0 -178 + -26m = -48 + 0 -178 + -26m = -48 Add '178' to each side of the equation. -178 + 178 + -26m = -48 + 178 Combine like terms: -178 + 178 = 0 0 + -26m = -48 + 178 -26m = -48 + 178 Combine like terms: -48 + 178 = 130 -26m = 130 Divide each side by '-26'. m = -5 Simplifying m = -5
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