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Simplifying 5(2c + -8) = 35c + -5c Reorder the terms: 5(-8 + 2c) = 35c + -5c (-8 * 5 + 2c * 5) = 35c + -5c (-40 + 10c) = 35c + -5c Combine like terms: 35c + -5c = 30c -40 + 10c = 30c Solving -40 + 10c = 30c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-30c' to each side of the equation. -40 + 10c + -30c = 30c + -30c Combine like terms: 10c + -30c = -20c -40 + -20c = 30c + -30c Combine like terms: 30c + -30c = 0 -40 + -20c = 0 Add '40' to each side of the equation. -40 + 40 + -20c = 0 + 40 Combine like terms: -40 + 40 = 0 0 + -20c = 0 + 40 -20c = 0 + 40 Combine like terms: 0 + 40 = 40 -20c = 40 Divide each side by '-20'. c = -2 Simplifying c = -2
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