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Simplifying 34 + 8m = 6(3m + 1) + -3m Reorder the terms: 34 + 8m = 6(1 + 3m) + -3m 34 + 8m = (1 * 6 + 3m * 6) + -3m 34 + 8m = (6 + 18m) + -3m Combine like terms: 18m + -3m = 15m 34 + 8m = 6 + 15m Solving 34 + 8m = 6 + 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 + 8m + -15m = 6 + 15m + -15m Combine like terms: 8m + -15m = -7m 34 + -7m = 6 + 15m + -15m Combine like terms: 15m + -15m = 0 34 + -7m = 6 + 0 34 + -7m = 6 Add '-34' to each side of the equation. 34 + -34 + -7m = 6 + -34 Combine like terms: 34 + -34 = 0 0 + -7m = 6 + -34 -7m = 6 + -34 Combine like terms: 6 + -34 = -28 -7m = -28 Divide each side by '-7'. m = 4 Simplifying m = 4
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