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Simplifying 5(3c + 2) = 4(5c + -10) Reorder the terms: 5(2 + 3c) = 4(5c + -10) (2 * 5 + 3c * 5) = 4(5c + -10) (10 + 15c) = 4(5c + -10) Reorder the terms: 10 + 15c = 4(-10 + 5c) 10 + 15c = (-10 * 4 + 5c * 4) 10 + 15c = (-40 + 20c) Solving 10 + 15c = -40 + 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. 10 + 15c + -20c = -40 + 20c + -20c Combine like terms: 15c + -20c = -5c 10 + -5c = -40 + 20c + -20c Combine like terms: 20c + -20c = 0 10 + -5c = -40 + 0 10 + -5c = -40 Add '-10' to each side of the equation. 10 + -10 + -5c = -40 + -10 Combine like terms: 10 + -10 = 0 0 + -5c = -40 + -10 -5c = -40 + -10 Combine like terms: -40 + -10 = -50 -5c = -50 Divide each side by '-5'. c = 10 Simplifying c = 10
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