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Simplifying -2(c + -3) = 4(d + 6) Reorder the terms: -2(-3 + c) = 4(d + 6) (-3 * -2 + c * -2) = 4(d + 6) (6 + -2c) = 4(d + 6) Reorder the terms: 6 + -2c = 4(6 + d) 6 + -2c = (6 * 4 + d * 4) 6 + -2c = (24 + 4d) Solving 6 + -2c = 24 + 4d 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 = 24 + -6 + 4d Combine like terms: 6 + -6 = 0 0 + -2c = 24 + -6 + 4d -2c = 24 + -6 + 4d Combine like terms: 24 + -6 = 18 -2c = 18 + 4d Divide each side by '-2'. c = -9 + -2d Simplifying c = -9 + -2d
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