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Simplifying 12 = 4(c + 1) Reorder the terms: 12 = 4(1 + c) 12 = (1 * 4 + c * 4) 12 = (4 + 4c) Solving 12 = 4 + 4c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4c' to each side of the equation. 12 + -4c = 4 + 4c + -4c Combine like terms: 4c + -4c = 0 12 + -4c = 4 + 0 12 + -4c = 4 Add '-12' to each side of the equation. 12 + -12 + -4c = 4 + -12 Combine like terms: 12 + -12 = 0 0 + -4c = 4 + -12 -4c = 4 + -12 Combine like terms: 4 + -12 = -8 -4c = -8 Divide each side by '-4'. c = 2 Simplifying c = 2
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