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Simplifying 6c + -5 = 5.0(6 + 4c) Reorder the terms: -5 + 6c = 5.0(6 + 4c) -5 + 6c = (6 * 5.0 + 4c * 5.0) -5 + 6c = (30 + 20c) Solving -5 + 6c = 30 + 20c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-20c' to each side of the equation. -5 + 6c + -20c = 30 + 20c + -20c Combine like terms: 6c + -20c = -14c -5 + -14c = 30 + 20c + -20c Combine like terms: 20c + -20c = 0 -5 + -14c = 30 + 0 -5 + -14c = 30 Add '5' to each side of the equation. -5 + 5 + -14c = 30 + 5 Combine like terms: -5 + 5 = 0 0 + -14c = 30 + 5 -14c = 30 + 5 Combine like terms: 30 + 5 = 35 -14c = 35 Divide each side by '-14'. c = -2.5 Simplifying c = -2.5
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