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Simplifying 181.95 = 5(0.05m + 29.90 + 0.10(29.90)) Multiply 0.10 * 29.90 181.95 = 5(0.05m + 29.90 + 2.99) Reorder the terms: 181.95 = 5(29.90 + 2.99 + 0.05m) Combine like terms: 29.90 + 2.99 = 32.89 181.95 = 5(32.89 + 0.05m) 181.95 = (32.89 * 5 + 0.05m * 5) 181.95 = (164.45 + 0.25m) Solving 181.95 = 164.45 + 0.25m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-0.25m' to each side of the equation. 181.95 + -0.25m = 164.45 + 0.25m + -0.25m Combine like terms: 0.25m + -0.25m = 0.00 181.95 + -0.25m = 164.45 + 0.00 181.95 + -0.25m = 164.45 Add '-181.95' to each side of the equation. 181.95 + -181.95 + -0.25m = 164.45 + -181.95 Combine like terms: 181.95 + -181.95 = 0.00 0.00 + -0.25m = 164.45 + -181.95 -0.25m = 164.45 + -181.95 Combine like terms: 164.45 + -181.95 = -17.5 -0.25m = -17.5 Divide each side by '-0.25'. m = 70 Simplifying m = 70
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