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Simplifying 30 + 0.15c + 15 = 30 + 0.25(c + -200) + 20 Reorder the terms: 30 + 15 + 0.15c = 30 + 0.25(c + -200) + 20 Combine like terms: 30 + 15 = 45 45 + 0.15c = 30 + 0.25(c + -200) + 20 Reorder the terms: 45 + 0.15c = 30 + 0.25(-200 + c) + 20 45 + 0.15c = 30 + (-200 * 0.25 + c * 0.25) + 20 45 + 0.15c = 30 + (-50 + 0.25c) + 20 Reorder the terms: 45 + 0.15c = 30 + -50 + 20 + 0.25c Combine like terms: 30 + -50 = -20 45 + 0.15c = -20 + 20 + 0.25c Combine like terms: -20 + 20 = 0 45 + 0.15c = 0 + 0.25c 45 + 0.15c = 0.25c Solving 45 + 0.15c = 0.25c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-0.25c' to each side of the equation. 45 + 0.15c + -0.25c = 0.25c + -0.25c Combine like terms: 0.15c + -0.25c = -0.1c 45 + -0.1c = 0.25c + -0.25c Combine like terms: 0.25c + -0.25c = 0.00 45 + -0.1c = 0.00 Add '-45' to each side of the equation. 45 + -45 + -0.1c = 0.00 + -45 Combine like terms: 45 + -45 = 0 0 + -0.1c = 0.00 + -45 -0.1c = 0.00 + -45 Combine like terms: 0.00 + -45 = -45 -0.1c = -45 Divide each side by '-0.1'. c = 450 Simplifying c = 450
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