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Simplifying 3(c + -4) = c + 2 Reorder the terms: 3(-4 + c) = c + 2 (-4 * 3 + c * 3) = c + 2 (-12 + 3c) = c + 2 Reorder the terms: -12 + 3c = 2 + c Solving -12 + 3c = 2 + c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1c' to each side of the equation. -12 + 3c + -1c = 2 + c + -1c Combine like terms: 3c + -1c = 2c -12 + 2c = 2 + c + -1c Combine like terms: c + -1c = 0 -12 + 2c = 2 + 0 -12 + 2c = 2 Add '12' to each side of the equation. -12 + 12 + 2c = 2 + 12 Combine like terms: -12 + 12 = 0 0 + 2c = 2 + 12 2c = 2 + 12 Combine like terms: 2 + 12 = 14 2c = 14 Divide each side by '2'. c = 7 Simplifying c = 7
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