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Simplifying 2(c + 2) = 3(c + -4) Reorder the terms: 2(2 + c) = 3(c + -4) (2 * 2 + c * 2) = 3(c + -4) (4 + 2c) = 3(c + -4) Reorder the terms: 4 + 2c = 3(-4 + c) 4 + 2c = (-4 * 3 + c * 3) 4 + 2c = (-12 + 3c) Solving 4 + 2c = -12 + 3c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-3c' to each side of the equation. 4 + 2c + -3c = -12 + 3c + -3c Combine like terms: 2c + -3c = -1c 4 + -1c = -12 + 3c + -3c Combine like terms: 3c + -3c = 0 4 + -1c = -12 + 0 4 + -1c = -12 Add '-4' to each side of the equation. 4 + -4 + -1c = -12 + -4 Combine like terms: 4 + -4 = 0 0 + -1c = -12 + -4 -1c = -12 + -4 Combine like terms: -12 + -4 = -16 -1c = -16 Divide each side by '-1'. c = 16 Simplifying c = 16
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