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Simplifying 6c + 20 + -13c = 5(c + -8) Reorder the terms: 20 + 6c + -13c = 5(c + -8) Combine like terms: 6c + -13c = -7c 20 + -7c = 5(c + -8) Reorder the terms: 20 + -7c = 5(-8 + c) 20 + -7c = (-8 * 5 + c * 5) 20 + -7c = (-40 + 5c) Solving 20 + -7c = -40 + 5c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-5c' to each side of the equation. 20 + -7c + -5c = -40 + 5c + -5c Combine like terms: -7c + -5c = -12c 20 + -12c = -40 + 5c + -5c Combine like terms: 5c + -5c = 0 20 + -12c = -40 + 0 20 + -12c = -40 Add '-20' to each side of the equation. 20 + -20 + -12c = -40 + -20 Combine like terms: 20 + -20 = 0 0 + -12c = -40 + -20 -12c = -40 + -20 Combine like terms: -40 + -20 = -60 -12c = -60 Divide each side by '-12'. c = 5 Simplifying c = 5
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