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Simplifying 9m + -4 = 4 + 5(m + 2) Reorder the terms: -4 + 9m = 4 + 5(m + 2) Reorder the terms: -4 + 9m = 4 + 5(2 + m) -4 + 9m = 4 + (2 * 5 + m * 5) -4 + 9m = 4 + (10 + 5m) Combine like terms: 4 + 10 = 14 -4 + 9m = 14 + 5m Solving -4 + 9m = 14 + 5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5m' to each side of the equation. -4 + 9m + -5m = 14 + 5m + -5m Combine like terms: 9m + -5m = 4m -4 + 4m = 14 + 5m + -5m Combine like terms: 5m + -5m = 0 -4 + 4m = 14 + 0 -4 + 4m = 14 Add '4' to each side of the equation. -4 + 4 + 4m = 14 + 4 Combine like terms: -4 + 4 = 0 0 + 4m = 14 + 4 4m = 14 + 4 Combine like terms: 14 + 4 = 18 4m = 18 Divide each side by '4'. m = 4.5 Simplifying m = 4.5
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