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Simplifying -29 = 8 + 4(c + 3) Reorder the terms: -29 = 8 + 4(3 + c) -29 = 8 + (3 * 4 + c * 4) -29 = 8 + (12 + 4c) Combine like terms: 8 + 12 = 20 -29 = 20 + 4c Solving -29 = 20 + 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. -29 + -4c = 20 + 4c + -4c Combine like terms: 4c + -4c = 0 -29 + -4c = 20 + 0 -29 + -4c = 20 Add '29' to each side of the equation. -29 + 29 + -4c = 20 + 29 Combine like terms: -29 + 29 = 0 0 + -4c = 20 + 29 -4c = 20 + 29 Combine like terms: 20 + 29 = 49 -4c = 49 Divide each side by '-4'. c = -12.25 Simplifying c = -12.25
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