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Simplifying 6 + -2(c + 6) = 3x + 4 Reorder the terms: 6 + -2(6 + c) = 3x + 4 6 + (6 * -2 + c * -2) = 3x + 4 6 + (-12 + -2c) = 3x + 4 Combine like terms: 6 + -12 = -6 -6 + -2c = 3x + 4 Reorder the terms: -6 + -2c = 4 + 3x Solving -6 + -2c = 4 + 3x Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -2c = 4 + 6 + 3x Combine like terms: -6 + 6 = 0 0 + -2c = 4 + 6 + 3x -2c = 4 + 6 + 3x Combine like terms: 4 + 6 = 10 -2c = 10 + 3x Divide each side by '-2'. c = -5 + -1.5x Simplifying c = -5 + -1.5x
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