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Simplifying 4(6c + 8) = 32 + -7c Reorder the terms: 4(8 + 6c) = 32 + -7c (8 * 4 + 6c * 4) = 32 + -7c (32 + 24c) = 32 + -7c Add '-32' to each side of the equation. 32 + -32 + 24c = 32 + -32 + -7c Combine like terms: 32 + -32 = 0 0 + 24c = 32 + -32 + -7c 24c = 32 + -32 + -7c Combine like terms: 32 + -32 = 0 24c = 0 + -7c 24c = -7c Solving 24c = -7c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '7c' to each side of the equation. 24c + 7c = -7c + 7c Combine like terms: 24c + 7c = 31c 31c = -7c + 7c Combine like terms: -7c + 7c = 0 31c = 0 Divide each side by '31'. c = 0 Simplifying c = 0
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