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Simplifying 45 = 5c + -2(5 + -5c) 45 = 5c + (5 * -2 + -5c * -2) 45 = 5c + (-10 + 10c) Reorder the terms: 45 = -10 + 5c + 10c Combine like terms: 5c + 10c = 15c 45 = -10 + 15c Solving 45 = -10 + 15c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-15c' to each side of the equation. 45 + -15c = -10 + 15c + -15c Combine like terms: 15c + -15c = 0 45 + -15c = -10 + 0 45 + -15c = -10 Add '-45' to each side of the equation. 45 + -45 + -15c = -10 + -45 Combine like terms: 45 + -45 = 0 0 + -15c = -10 + -45 -15c = -10 + -45 Combine like terms: -10 + -45 = -55 -15c = -55 Divide each side by '-15'. c = 3.666666667 Simplifying c = 3.666666667
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