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Simplifying 3 = 4[c + -5(c + -3)] Reorder the terms: 3 = 4[c + -5(-3 + c)] 3 = 4[c + (-3 * -5 + c * -5)] 3 = 4[c + (15 + -5c)] Reorder the terms: 3 = 4[15 + c + -5c] Combine like terms: c + -5c = -4c 3 = 4[15 + -4c] 3 = [15 * 4 + -4c * 4] 3 = [60 + -16c] Solving 3 = 60 + -16c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '16c' to each side of the equation. 3 + 16c = 60 + -16c + 16c Combine like terms: -16c + 16c = 0 3 + 16c = 60 + 0 3 + 16c = 60 Add '-3' to each side of the equation. 3 + -3 + 16c = 60 + -3 Combine like terms: 3 + -3 = 0 0 + 16c = 60 + -3 16c = 60 + -3 Combine like terms: 60 + -3 = 57 16c = 57 Divide each side by '16'. c = 3.5625 Simplifying c = 3.5625
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