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Simplifying 5(6c + -5) + -1[3(3c + -3) + 3] = 0 Reorder the terms: 5(-5 + 6c) + -1[3(3c + -3) + 3] = 0 (-5 * 5 + 6c * 5) + -1[3(3c + -3) + 3] = 0 (-25 + 30c) + -1[3(3c + -3) + 3] = 0 Reorder the terms: -25 + 30c + -1[3(-3 + 3c) + 3] = 0 -25 + 30c + -1[(-3 * 3 + 3c * 3) + 3] = 0 -25 + 30c + -1[(-9 + 9c) + 3] = 0 Reorder the terms: -25 + 30c + -1[-9 + 3 + 9c] = 0 Combine like terms: -9 + 3 = -6 -25 + 30c + -1[-6 + 9c] = 0 -25 + 30c + [-6 * -1 + 9c * -1] = 0 -25 + 30c + [6 + -9c] = 0 Reorder the terms: -25 + 6 + 30c + -9c = 0 Combine like terms: -25 + 6 = -19 -19 + 30c + -9c = 0 Combine like terms: 30c + -9c = 21c -19 + 21c = 0 Solving -19 + 21c = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + 21c = 0 + 19 Combine like terms: -19 + 19 = 0 0 + 21c = 0 + 19 21c = 0 + 19 Combine like terms: 0 + 19 = 19 21c = 19 Divide each side by '21'. c = 0.9047619048 Simplifying c = 0.9047619048
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