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Simplifying 7m + 34 = -5(-3m + 6) Reorder the terms: 34 + 7m = -5(-3m + 6) Reorder the terms: 34 + 7m = -5(6 + -3m) 34 + 7m = (6 * -5 + -3m * -5) 34 + 7m = (-30 + 15m) Solving 34 + 7m = -30 + 15m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-15m' to each side of the equation. 34 + 7m + -15m = -30 + 15m + -15m Combine like terms: 7m + -15m = -8m 34 + -8m = -30 + 15m + -15m Combine like terms: 15m + -15m = 0 34 + -8m = -30 + 0 34 + -8m = -30 Add '-34' to each side of the equation. 34 + -34 + -8m = -30 + -34 Combine like terms: 34 + -34 = 0 0 + -8m = -30 + -34 -8m = -30 + -34 Combine like terms: -30 + -34 = -64 -8m = -64 Divide each side by '-8'. m = 8 Simplifying m = 8
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