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Simplifying -4(3 + c) = 6(3 + -1c) (3 * -4 + c * -4) = 6(3 + -1c) (-12 + -4c) = 6(3 + -1c) -12 + -4c = (3 * 6 + -1c * 6) -12 + -4c = (18 + -6c) Solving -12 + -4c = 18 + -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. -12 + -4c + 6c = 18 + -6c + 6c Combine like terms: -4c + 6c = 2c -12 + 2c = 18 + -6c + 6c Combine like terms: -6c + 6c = 0 -12 + 2c = 18 + 0 -12 + 2c = 18 Add '12' to each side of the equation. -12 + 12 + 2c = 18 + 12 Combine like terms: -12 + 12 = 0 0 + 2c = 18 + 12 2c = 18 + 12 Combine like terms: 18 + 12 = 30 2c = 30 Divide each side by '2'. c = 15 Simplifying c = 15
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