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Simplifying 2(4c + 7) = 3(2c + -4) Reorder the terms: 2(7 + 4c) = 3(2c + -4) (7 * 2 + 4c * 2) = 3(2c + -4) (14 + 8c) = 3(2c + -4) Reorder the terms: 14 + 8c = 3(-4 + 2c) 14 + 8c = (-4 * 3 + 2c * 3) 14 + 8c = (-12 + 6c) Solving 14 + 8c = -12 + 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. 14 + 8c + -6c = -12 + 6c + -6c Combine like terms: 8c + -6c = 2c 14 + 2c = -12 + 6c + -6c Combine like terms: 6c + -6c = 0 14 + 2c = -12 + 0 14 + 2c = -12 Add '-14' to each side of the equation. 14 + -14 + 2c = -12 + -14 Combine like terms: 14 + -14 = 0 0 + 2c = -12 + -14 2c = -12 + -14 Combine like terms: -12 + -14 = -26 2c = -26 Divide each side by '2'. c = -13 Simplifying c = -13
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