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Simplifying 5c + -27 = 33 + 16(c + 6) Reorder the terms: -27 + 5c = 33 + 16(c + 6) Reorder the terms: -27 + 5c = 33 + 16(6 + c) -27 + 5c = 33 + (6 * 16 + c * 16) -27 + 5c = 33 + (96 + 16c) Combine like terms: 33 + 96 = 129 -27 + 5c = 129 + 16c Solving -27 + 5c = 129 + 16c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-16c' to each side of the equation. -27 + 5c + -16c = 129 + 16c + -16c Combine like terms: 5c + -16c = -11c -27 + -11c = 129 + 16c + -16c Combine like terms: 16c + -16c = 0 -27 + -11c = 129 + 0 -27 + -11c = 129 Add '27' to each side of the equation. -27 + 27 + -11c = 129 + 27 Combine like terms: -27 + 27 = 0 0 + -11c = 129 + 27 -11c = 129 + 27 Combine like terms: 129 + 27 = 156 -11c = 156 Divide each side by '-11'. c = -14.18181818 Simplifying c = -14.18181818
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