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Simplifying -29 = 5 + 4(c + 8) Reorder the terms: -29 = 5 + 4(8 + c) -29 = 5 + (8 * 4 + c * 4) -29 = 5 + (32 + 4c) Combine like terms: 5 + 32 = 37 -29 = 37 + 4c Solving -29 = 37 + 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 = 37 + 4c + -4c Combine like terms: 4c + -4c = 0 -29 + -4c = 37 + 0 -29 + -4c = 37 Add '29' to each side of the equation. -29 + 29 + -4c = 37 + 29 Combine like terms: -29 + 29 = 0 0 + -4c = 37 + 29 -4c = 37 + 29 Combine like terms: 37 + 29 = 66 -4c = 66 Divide each side by '-4'. c = -16.5 Simplifying c = -16.5
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