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Simplifying -2(m + -5) = 6(3m + -8) Reorder the terms: -2(-5 + m) = 6(3m + -8) (-5 * -2 + m * -2) = 6(3m + -8) (10 + -2m) = 6(3m + -8) Reorder the terms: 10 + -2m = 6(-8 + 3m) 10 + -2m = (-8 * 6 + 3m * 6) 10 + -2m = (-48 + 18m) Solving 10 + -2m = -48 + 18m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-18m' to each side of the equation. 10 + -2m + -18m = -48 + 18m + -18m Combine like terms: -2m + -18m = -20m 10 + -20m = -48 + 18m + -18m Combine like terms: 18m + -18m = 0 10 + -20m = -48 + 0 10 + -20m = -48 Add '-10' to each side of the equation. 10 + -10 + -20m = -48 + -10 Combine like terms: 10 + -10 = 0 0 + -20m = -48 + -10 -20m = -48 + -10 Combine like terms: -48 + -10 = -58 -20m = -58 Divide each side by '-20'. m = 2.9 Simplifying m = 2.9
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