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Simplifying 4(c + 8) = 5(c + 4) Reorder the terms: 4(8 + c) = 5(c + 4) (8 * 4 + c * 4) = 5(c + 4) (32 + 4c) = 5(c + 4) Reorder the terms: 32 + 4c = 5(4 + c) 32 + 4c = (4 * 5 + c * 5) 32 + 4c = (20 + 5c) Solving 32 + 4c = 20 + 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. 32 + 4c + -5c = 20 + 5c + -5c Combine like terms: 4c + -5c = -1c 32 + -1c = 20 + 5c + -5c Combine like terms: 5c + -5c = 0 32 + -1c = 20 + 0 32 + -1c = 20 Add '-32' to each side of the equation. 32 + -32 + -1c = 20 + -32 Combine like terms: 32 + -32 = 0 0 + -1c = 20 + -32 -1c = 20 + -32 Combine like terms: 20 + -32 = -12 -1c = -12 Divide each side by '-1'. c = 12 Simplifying c = 12
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