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Simplifying 5(2c + -8) = 2(3c + -10) Reorder the terms: 5(-8 + 2c) = 2(3c + -10) (-8 * 5 + 2c * 5) = 2(3c + -10) (-40 + 10c) = 2(3c + -10) Reorder the terms: -40 + 10c = 2(-10 + 3c) -40 + 10c = (-10 * 2 + 3c * 2) -40 + 10c = (-20 + 6c) Solving -40 + 10c = -20 + 6c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-6c' to each side of the equation. -40 + 10c + -6c = -20 + 6c + -6c Combine like terms: 10c + -6c = 4c -40 + 4c = -20 + 6c + -6c Combine like terms: 6c + -6c = 0 -40 + 4c = -20 + 0 -40 + 4c = -20 Add '40' to each side of the equation. -40 + 40 + 4c = -20 + 40 Combine like terms: -40 + 40 = 0 0 + 4c = -20 + 40 4c = -20 + 40 Combine like terms: -20 + 40 = 20 4c = 20 Divide each side by '4'. c = 5 Simplifying c = 5
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