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Simplifying 8(2 + 3m) = 8(m + -6) (2 * 8 + 3m * 8) = 8(m + -6) (16 + 24m) = 8(m + -6) Reorder the terms: 16 + 24m = 8(-6 + m) 16 + 24m = (-6 * 8 + m * 8) 16 + 24m = (-48 + 8m) Solving 16 + 24m = -48 + 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. 16 + 24m + -8m = -48 + 8m + -8m Combine like terms: 24m + -8m = 16m 16 + 16m = -48 + 8m + -8m Combine like terms: 8m + -8m = 0 16 + 16m = -48 + 0 16 + 16m = -48 Add '-16' to each side of the equation. 16 + -16 + 16m = -48 + -16 Combine like terms: 16 + -16 = 0 0 + 16m = -48 + -16 16m = -48 + -16 Combine like terms: -48 + -16 = -64 16m = -64 Divide each side by '16'. m = -4 Simplifying m = -4
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