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Simplifying 3(c + -4) = 2(9 + c) Reorder the terms: 3(-4 + c) = 2(9 + c) (-4 * 3 + c * 3) = 2(9 + c) (-12 + 3c) = 2(9 + c) -12 + 3c = (9 * 2 + c * 2) -12 + 3c = (18 + 2c) Solving -12 + 3c = 18 + 2c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-2c' to each side of the equation. -12 + 3c + -2c = 18 + 2c + -2c Combine like terms: 3c + -2c = 1c -12 + 1c = 18 + 2c + -2c Combine like terms: 2c + -2c = 0 -12 + 1c = 18 + 0 -12 + 1c = 18 Add '12' to each side of the equation. -12 + 12 + 1c = 18 + 12 Combine like terms: -12 + 12 = 0 0 + 1c = 18 + 12 1c = 18 + 12 Combine like terms: 18 + 12 = 30 1c = 30 Divide each side by '1'. c = 30 Simplifying c = 30
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