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Simplifying 8 = -8(3m + 6) + -8(2m + 8) Reorder the terms: 8 = -8(6 + 3m) + -8(2m + 8) 8 = (6 * -8 + 3m * -8) + -8(2m + 8) 8 = (-48 + -24m) + -8(2m + 8) Reorder the terms: 8 = -48 + -24m + -8(8 + 2m) 8 = -48 + -24m + (8 * -8 + 2m * -8) 8 = -48 + -24m + (-64 + -16m) Reorder the terms: 8 = -48 + -64 + -24m + -16m Combine like terms: -48 + -64 = -112 8 = -112 + -24m + -16m Combine like terms: -24m + -16m = -40m 8 = -112 + -40m Solving 8 = -112 + -40m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '40m' to each side of the equation. 8 + 40m = -112 + -40m + 40m Combine like terms: -40m + 40m = 0 8 + 40m = -112 + 0 8 + 40m = -112 Add '-8' to each side of the equation. 8 + -8 + 40m = -112 + -8 Combine like terms: 8 + -8 = 0 0 + 40m = -112 + -8 40m = -112 + -8 Combine like terms: -112 + -8 = -120 40m = -120 Divide each side by '40'. m = -3 Simplifying m = -3
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