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Simplifying 0.45(50) + 0.05c = 0.15(50 + c) Multiply 0.45 * 50 22.5 + 0.05c = 0.15(50 + c) 22.5 + 0.05c = (50 * 0.15 + c * 0.15) 22.5 + 0.05c = (7.5 + 0.15c) Solving 22.5 + 0.05c = 7.5 + 0.15c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-0.15c' to each side of the equation. 22.5 + 0.05c + -0.15c = 7.5 + 0.15c + -0.15c Combine like terms: 0.05c + -0.15c = -0.1c 22.5 + -0.1c = 7.5 + 0.15c + -0.15c Combine like terms: 0.15c + -0.15c = 0.00 22.5 + -0.1c = 7.5 + 0.00 22.5 + -0.1c = 7.5 Add '-22.5' to each side of the equation. 22.5 + -22.5 + -0.1c = 7.5 + -22.5 Combine like terms: 22.5 + -22.5 = 0.0 0.0 + -0.1c = 7.5 + -22.5 -0.1c = 7.5 + -22.5 Combine like terms: 7.5 + -22.5 = -15 -0.1c = -15 Divide each side by '-0.1'. c = 150 Simplifying c = 150
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