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Simplifying 8m + 12 = 15m + -23 Reorder the terms: 12 + 8m = 15m + -23 Reorder the terms: 12 + 8m = -23 + 15m Solving 12 + 8m = -23 + 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. 12 + 8m + -15m = -23 + 15m + -15m Combine like terms: 8m + -15m = -7m 12 + -7m = -23 + 15m + -15m Combine like terms: 15m + -15m = 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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