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Simplifying 2(m + 6) = 9m + -23 Reorder the terms: 2(6 + m) = 9m + -23 (6 * 2 + m * 2) = 9m + -23 (12 + 2m) = 9m + -23 Reorder the terms: 12 + 2m = -23 + 9m Solving 12 + 2m = -23 + 9m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-9m' to each side of the equation. 12 + 2m + -9m = -23 + 9m + -9m Combine like terms: 2m + -9m = -7m 12 + -7m = -23 + 9m + -9m Combine like terms: 9m + -9m = 0 12 + -7m = -23 + 0 12 + -7m = -23 Add '-12' to each side of the equation. 12 + -12 + -7m = -23 + -12 Combine like terms: 12 + -12 = 0 0 + -7m = -23 + -12 -7m = -23 + -12 Combine like terms: -23 + -12 = -35 -7m = -35 Divide each side by '-7'. m = 5 Simplifying m = 5
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