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Simplifying 4(2c + 3) = 5(5c + -1) Reorder the terms: 4(3 + 2c) = 5(5c + -1) (3 * 4 + 2c * 4) = 5(5c + -1) (12 + 8c) = 5(5c + -1) Reorder the terms: 12 + 8c = 5(-1 + 5c) 12 + 8c = (-1 * 5 + 5c * 5) 12 + 8c = (-5 + 25c) Solving 12 + 8c = -5 + 25c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-25c' to each side of the equation. 12 + 8c + -25c = -5 + 25c + -25c Combine like terms: 8c + -25c = -17c 12 + -17c = -5 + 25c + -25c Combine like terms: 25c + -25c = 0 12 + -17c = -5 + 0 12 + -17c = -5 Add '-12' to each side of the equation. 12 + -12 + -17c = -5 + -12 Combine like terms: 12 + -12 = 0 0 + -17c = -5 + -12 -17c = -5 + -12 Combine like terms: -5 + -12 = -17 -17c = -17 Divide each side by '-17'. c = 1 Simplifying c = 1
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