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Simplifying 3(c + -2d + -1) = 7d + 6 Reorder the terms: 3(-1 + c + -2d) = 7d + 6 (-1 * 3 + c * 3 + -2d * 3) = 7d + 6 (-3 + 3c + -6d) = 7d + 6 Reorder the terms: -3 + 3c + -6d = 6 + 7d Solving -3 + 3c + -6d = 6 + 7d Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3c + 3 + -6d = 6 + 3 + 7d Reorder the terms: -3 + 3 + 3c + -6d = 6 + 3 + 7d Combine like terms: -3 + 3 = 0 0 + 3c + -6d = 6 + 3 + 7d 3c + -6d = 6 + 3 + 7d Combine like terms: 6 + 3 = 9 3c + -6d = 9 + 7d Add '6d' to each side of the equation. 3c + -6d + 6d = 9 + 7d + 6d Combine like terms: -6d + 6d = 0 3c + 0 = 9 + 7d + 6d 3c = 9 + 7d + 6d Combine like terms: 7d + 6d = 13d 3c = 9 + 13d Divide each side by '3'. c = 3 + 4.333333333d Simplifying c = 3 + 4.333333333d
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