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Simplifying -8(-3m + -3) + 3 = -27 + 6m Reorder the terms: -8(-3 + -3m) + 3 = -27 + 6m (-3 * -8 + -3m * -8) + 3 = -27 + 6m (24 + 24m) + 3 = -27 + 6m Reorder the terms: 24 + 3 + 24m = -27 + 6m Combine like terms: 24 + 3 = 27 27 + 24m = -27 + 6m Solving 27 + 24m = -27 + 6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6m' to each side of the equation. 27 + 24m + -6m = -27 + 6m + -6m Combine like terms: 24m + -6m = 18m 27 + 18m = -27 + 6m + -6m Combine like terms: 6m + -6m = 0 27 + 18m = -27 + 0 27 + 18m = -27 Add '-27' to each side of the equation. 27 + -27 + 18m = -27 + -27 Combine like terms: 27 + -27 = 0 0 + 18m = -27 + -27 18m = -27 + -27 Combine like terms: -27 + -27 = -54 18m = -54 Divide each side by '18'. m = -3 Simplifying m = -3
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