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Simplifying 8(c + 4) = 22 + 3c Reorder the terms: 8(4 + c) = 22 + 3c (4 * 8 + c * 8) = 22 + 3c (32 + 8c) = 22 + 3c Solving 32 + 8c = 22 + 3c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-3c' to each side of the equation. 32 + 8c + -3c = 22 + 3c + -3c Combine like terms: 8c + -3c = 5c 32 + 5c = 22 + 3c + -3c Combine like terms: 3c + -3c = 0 32 + 5c = 22 + 0 32 + 5c = 22 Add '-32' to each side of the equation. 32 + -32 + 5c = 22 + -32 Combine like terms: 32 + -32 = 0 0 + 5c = 22 + -32 5c = 22 + -32 Combine like terms: 22 + -32 = -10 5c = -10 Divide each side by '5'. c = -2 Simplifying c = -2
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