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Simplifying 8(c + 4) = 7c + -3 Reorder the terms: 8(4 + c) = 7c + -3 (4 * 8 + c * 8) = 7c + -3 (32 + 8c) = 7c + -3 Reorder the terms: 32 + 8c = -3 + 7c Solving 32 + 8c = -3 + 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. 32 + 8c + -7c = -3 + 7c + -7c Combine like terms: 8c + -7c = 1c 32 + 1c = -3 + 7c + -7c Combine like terms: 7c + -7c = 0 32 + 1c = -3 + 0 32 + 1c = -3 Add '-32' to each side of the equation. 32 + -32 + 1c = -3 + -32 Combine like terms: 32 + -32 = 0 0 + 1c = -3 + -32 1c = -3 + -32 Combine like terms: -3 + -32 = -35 1c = -35 Divide each side by '1'. c = -35 Simplifying c = -35
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