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Simplifying 2(3c + 4) = 5(2c + -7) Reorder the terms: 2(4 + 3c) = 5(2c + -7) (4 * 2 + 3c * 2) = 5(2c + -7) (8 + 6c) = 5(2c + -7) Reorder the terms: 8 + 6c = 5(-7 + 2c) 8 + 6c = (-7 * 5 + 2c * 5) 8 + 6c = (-35 + 10c) Solving 8 + 6c = -35 + 10c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-10c' to each side of the equation. 8 + 6c + -10c = -35 + 10c + -10c Combine like terms: 6c + -10c = -4c 8 + -4c = -35 + 10c + -10c Combine like terms: 10c + -10c = 0 8 + -4c = -35 + 0 8 + -4c = -35 Add '-8' to each side of the equation. 8 + -8 + -4c = -35 + -8 Combine like terms: 8 + -8 = 0 0 + -4c = -35 + -8 -4c = -35 + -8 Combine like terms: -35 + -8 = -43 -4c = -43 Divide each side by '-4'. c = 10.75 Simplifying c = 10.75
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