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Simplifying 4(5c + 2) + 3c = 3(7c + -8) + -5c Reorder the terms: 4(2 + 5c) + 3c = 3(7c + -8) + -5c (2 * 4 + 5c * 4) + 3c = 3(7c + -8) + -5c (8 + 20c) + 3c = 3(7c + -8) + -5c Combine like terms: 20c + 3c = 23c 8 + 23c = 3(7c + -8) + -5c Reorder the terms: 8 + 23c = 3(-8 + 7c) + -5c 8 + 23c = (-8 * 3 + 7c * 3) + -5c 8 + 23c = (-24 + 21c) + -5c Combine like terms: 21c + -5c = 16c 8 + 23c = -24 + 16c Solving 8 + 23c = -24 + 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. 8 + 23c + -16c = -24 + 16c + -16c Combine like terms: 23c + -16c = 7c 8 + 7c = -24 + 16c + -16c Combine like terms: 16c + -16c = 0 8 + 7c = -24 + 0 8 + 7c = -24 Add '-8' to each side of the equation. 8 + -8 + 7c = -24 + -8 Combine like terms: 8 + -8 = 0 0 + 7c = -24 + -8 7c = -24 + -8 Combine like terms: -24 + -8 = -32 7c = -32 Divide each side by '7'. c = -4.571428571 Simplifying c = -4.571428571
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