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Simplifying 5(-3m + 6) = 7m + 2 Reorder the terms: 5(6 + -3m) = 7m + 2 (6 * 5 + -3m * 5) = 7m + 2 (30 + -15m) = 7m + 2 Reorder the terms: 30 + -15m = 2 + 7m Solving 30 + -15m = 2 + 7m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-7m' to each side of the equation. 30 + -15m + -7m = 2 + 7m + -7m Combine like terms: -15m + -7m = -22m 30 + -22m = 2 + 7m + -7m Combine like terms: 7m + -7m = 0 30 + -22m = 2 + 0 30 + -22m = 2 Add '-30' to each side of the equation. 30 + -30 + -22m = 2 + -30 Combine like terms: 30 + -30 = 0 0 + -22m = 2 + -30 -22m = 2 + -30 Combine like terms: 2 + -30 = -28 -22m = -28 Divide each side by '-22'. m = 1.272727273 Simplifying m = 1.272727273
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