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Simplifying -44 + 5m = 12(m + -7) + 3m Reorder the terms: -44 + 5m = 12(-7 + m) + 3m -44 + 5m = (-7 * 12 + m * 12) + 3m -44 + 5m = (-84 + 12m) + 3m Combine like terms: 12m + 3m = 15m -44 + 5m = -84 + 15m Solving -44 + 5m = -84 + 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. -44 + 5m + -15m = -84 + 15m + -15m Combine like terms: 5m + -15m = -10m -44 + -10m = -84 + 15m + -15m Combine like terms: 15m + -15m = 0 -44 + -10m = -84 + 0 -44 + -10m = -84 Add '44' to each side of the equation. -44 + 44 + -10m = -84 + 44 Combine like terms: -44 + 44 = 0 0 + -10m = -84 + 44 -10m = -84 + 44 Combine like terms: -84 + 44 = -40 -10m = -40 Divide each side by '-10'. m = 4 Simplifying m = 4
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