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Simplifying 33 + -5m = -6(3m + 1) Reorder the terms: 33 + -5m = -6(1 + 3m) 33 + -5m = (1 * -6 + 3m * -6) 33 + -5m = (-6 + -18m) Solving 33 + -5m = -6 + -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. 33 + -5m + 18m = -6 + -18m + 18m Combine like terms: -5m + 18m = 13m 33 + 13m = -6 + -18m + 18m Combine like terms: -18m + 18m = 0 33 + 13m = -6 + 0 33 + 13m = -6 Add '-33' to each side of the equation. 33 + -33 + 13m = -6 + -33 Combine like terms: 33 + -33 = 0 0 + 13m = -6 + -33 13m = -6 + -33 Combine like terms: -6 + -33 = -39 13m = -39 Divide each side by '13'. m = -3 Simplifying m = -3
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