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Simplifying 4(c + -8) = 3(3 + c) Reorder the terms: 4(-8 + c) = 3(3 + c) (-8 * 4 + c * 4) = 3(3 + c) (-32 + 4c) = 3(3 + c) -32 + 4c = (3 * 3 + c * 3) -32 + 4c = (9 + 3c) Solving -32 + 4c = 9 + 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 + 4c + -3c = 9 + 3c + -3c Combine like terms: 4c + -3c = 1c -32 + 1c = 9 + 3c + -3c Combine like terms: 3c + -3c = 0 -32 + 1c = 9 + 0 -32 + 1c = 9 Add '32' to each side of the equation. -32 + 32 + 1c = 9 + 32 Combine like terms: -32 + 32 = 0 0 + 1c = 9 + 32 1c = 9 + 32 Combine like terms: 9 + 32 = 41 1c = 41 Divide each side by '1'. c = 41 Simplifying c = 41
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