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Simplifying 2(2m + 4) = 6(m + 5) + -7m Reorder the terms: 2(4 + 2m) = 6(m + 5) + -7m (4 * 2 + 2m * 2) = 6(m + 5) + -7m (8 + 4m) = 6(m + 5) + -7m Reorder the terms: 8 + 4m = 6(5 + m) + -7m 8 + 4m = (5 * 6 + m * 6) + -7m 8 + 4m = (30 + 6m) + -7m Combine like terms: 6m + -7m = -1m 8 + 4m = 30 + -1m Solving 8 + 4m = 30 + -1m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add 'm' to each side of the equation. 8 + 4m + m = 30 + -1m + m Combine like terms: 4m + m = 5m 8 + 5m = 30 + -1m + m Combine like terms: -1m + m = 0 8 + 5m = 30 + 0 8 + 5m = 30 Add '-8' to each side of the equation. 8 + -8 + 5m = 30 + -8 Combine like terms: 8 + -8 = 0 0 + 5m = 30 + -8 5m = 30 + -8 Combine like terms: 30 + -8 = 22 5m = 22 Divide each side by '5'. m = 4.4 Simplifying m = 4.4
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