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Simplifying 6(9c + -4) + -1[2(4c + -3) + 5] = 0 Reorder the terms: 6(-4 + 9c) + -1[2(4c + -3) + 5] = 0 (-4 * 6 + 9c * 6) + -1[2(4c + -3) + 5] = 0 (-24 + 54c) + -1[2(4c + -3) + 5] = 0 Reorder the terms: -24 + 54c + -1[2(-3 + 4c) + 5] = 0 -24 + 54c + -1[(-3 * 2 + 4c * 2) + 5] = 0 -24 + 54c + -1[(-6 + 8c) + 5] = 0 Reorder the terms: -24 + 54c + -1[-6 + 5 + 8c] = 0 Combine like terms: -6 + 5 = -1 -24 + 54c + -1[-1 + 8c] = 0 -24 + 54c + [-1 * -1 + 8c * -1] = 0 -24 + 54c + [1 + -8c] = 0 Reorder the terms: -24 + 1 + 54c + -8c = 0 Combine like terms: -24 + 1 = -23 -23 + 54c + -8c = 0 Combine like terms: 54c + -8c = 46c -23 + 46c = 0 Solving -23 + 46c = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + 46c = 0 + 23 Combine like terms: -23 + 23 = 0 0 + 46c = 0 + 23 46c = 0 + 23 Combine like terms: 0 + 23 = 23 46c = 23 Divide each side by '46'. c = 0.5 Simplifying c = 0.5
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