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Simplifying 6(1 + -5m) = 6(-6m + -8) (1 * 6 + -5m * 6) = 6(-6m + -8) (6 + -30m) = 6(-6m + -8) Reorder the terms: 6 + -30m = 6(-8 + -6m) 6 + -30m = (-8 * 6 + -6m * 6) 6 + -30m = (-48 + -36m) Solving 6 + -30m = -48 + -36m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '36m' to each side of the equation. 6 + -30m + 36m = -48 + -36m + 36m Combine like terms: -30m + 36m = 6m 6 + 6m = -48 + -36m + 36m Combine like terms: -36m + 36m = 0 6 + 6m = -48 + 0 6 + 6m = -48 Add '-6' to each side of the equation. 6 + -6 + 6m = -48 + -6 Combine like terms: 6 + -6 = 0 0 + 6m = -48 + -6 6m = -48 + -6 Combine like terms: -48 + -6 = -54 6m = -54 Divide each side by '6'. m = -9 Simplifying m = -9
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