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Simplifying 3(-4c + 1) = 5c + 2 + 3 Reorder the terms: 3(1 + -4c) = 5c + 2 + 3 (1 * 3 + -4c * 3) = 5c + 2 + 3 (3 + -12c) = 5c + 2 + 3 Reorder the terms: 3 + -12c = 2 + 3 + 5c Combine like terms: 2 + 3 = 5 3 + -12c = 5 + 5c Solving 3 + -12c = 5 + 5c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-5c' to each side of the equation. 3 + -12c + -5c = 5 + 5c + -5c Combine like terms: -12c + -5c = -17c 3 + -17c = 5 + 5c + -5c Combine like terms: 5c + -5c = 0 3 + -17c = 5 + 0 3 + -17c = 5 Add '-3' to each side of the equation. 3 + -3 + -17c = 5 + -3 Combine like terms: 3 + -3 = 0 0 + -17c = 5 + -3 -17c = 5 + -3 Combine like terms: 5 + -3 = 2 -17c = 2 Divide each side by '-17'. c = -0.1176470588 Simplifying c = -0.1176470588
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