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Simplifying 27.5 = -8 + 3.5(c + 4) Reorder the terms: 27.5 = -8 + 3.5(4 + c) 27.5 = -8 + (4 * 3.5 + c * 3.5) 27.5 = -8 + (14 + 3.5c) Combine like terms: -8 + 14 = 6 27.5 = 6 + 3.5c Solving 27.5 = 6 + 3.5c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-3.5c' to each side of the equation. 27.5 + -3.5c = 6 + 3.5c + -3.5c Combine like terms: 3.5c + -3.5c = 0.0 27.5 + -3.5c = 6 + 0.0 27.5 + -3.5c = 6 Add '-27.5' to each side of the equation. 27.5 + -27.5 + -3.5c = 6 + -27.5 Combine like terms: 27.5 + -27.5 = 0.0 0.0 + -3.5c = 6 + -27.5 -3.5c = 6 + -27.5 Combine like terms: 6 + -27.5 = -21.5 -3.5c = -21.5 Divide each side by '-3.5'. c = 6.142857143 Simplifying c = 6.142857143
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