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Simplifying 6(c + -8) + 2(3c + 17) = 0 Reorder the terms: 6(-8 + c) + 2(3c + 17) = 0 (-8 * 6 + c * 6) + 2(3c + 17) = 0 (-48 + 6c) + 2(3c + 17) = 0 Reorder the terms: -48 + 6c + 2(17 + 3c) = 0 -48 + 6c + (17 * 2 + 3c * 2) = 0 -48 + 6c + (34 + 6c) = 0 Reorder the terms: -48 + 34 + 6c + 6c = 0 Combine like terms: -48 + 34 = -14 -14 + 6c + 6c = 0 Combine like terms: 6c + 6c = 12c -14 + 12c = 0 Solving -14 + 12c = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 12c = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 12c = 0 + 14 12c = 0 + 14 Combine like terms: 0 + 14 = 14 12c = 14 Divide each side by '12'. c = 1.166666667 Simplifying c = 1.166666667
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