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Simplifying 6(5c + -4) + -1[3(3c + -3) + 5] = 0 Reorder the terms: 6(-4 + 5c) + -1[3(3c + -3) + 5] = 0 (-4 * 6 + 5c * 6) + -1[3(3c + -3) + 5] = 0 (-24 + 30c) + -1[3(3c + -3) + 5] = 0 Reorder the terms: -24 + 30c + -1[3(-3 + 3c) + 5] = 0 -24 + 30c + -1[(-3 * 3 + 3c * 3) + 5] = 0 -24 + 30c + -1[(-9 + 9c) + 5] = 0 Reorder the terms: -24 + 30c + -1[-9 + 5 + 9c] = 0 Combine like terms: -9 + 5 = -4 -24 + 30c + -1[-4 + 9c] = 0 -24 + 30c + [-4 * -1 + 9c * -1] = 0 -24 + 30c + [4 + -9c] = 0 Reorder the terms: -24 + 4 + 30c + -9c = 0 Combine like terms: -24 + 4 = -20 -20 + 30c + -9c = 0 Combine like terms: 30c + -9c = 21c -20 + 21c = 0 Solving -20 + 21c = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 21c = 0 + 20 Combine like terms: -20 + 20 = 0 0 + 21c = 0 + 20 21c = 0 + 20 Combine like terms: 0 + 20 = 20 21c = 20 Divide each side by '21'. c = 0.9523809524 Simplifying c = 0.9523809524
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