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Simplifying -30.5 + -4c = 8.5(2.5c + -8) Reorder the terms: -30.5 + -4c = 8.5(-8 + 2.5c) -30.5 + -4c = (-8 * 8.5 + 2.5c * 8.5) -30.5 + -4c = (-68 + 21.25c) Solving -30.5 + -4c = -68 + 21.25c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-21.25c' to each side of the equation. -30.5 + -4c + -21.25c = -68 + 21.25c + -21.25c Combine like terms: -4c + -21.25c = -25.25c -30.5 + -25.25c = -68 + 21.25c + -21.25c Combine like terms: 21.25c + -21.25c = 0.00 -30.5 + -25.25c = -68 + 0.00 -30.5 + -25.25c = -68 Add '30.5' to each side of the equation. -30.5 + 30.5 + -25.25c = -68 + 30.5 Combine like terms: -30.5 + 30.5 = 0.0 0.0 + -25.25c = -68 + 30.5 -25.25c = -68 + 30.5 Combine like terms: -68 + 30.5 = -37.5 -25.25c = -37.5 Divide each side by '-25.25'. c = 1.485148515 Simplifying c = 1.485148515
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