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Simplifying 5(9c + -5) + -1[2(4c + -3) + 2] = 0 Reorder the terms: 5(-5 + 9c) + -1[2(4c + -3) + 2] = 0 (-5 * 5 + 9c * 5) + -1[2(4c + -3) + 2] = 0 (-25 + 45c) + -1[2(4c + -3) + 2] = 0 Reorder the terms: -25 + 45c + -1[2(-3 + 4c) + 2] = 0 -25 + 45c + -1[(-3 * 2 + 4c * 2) + 2] = 0 -25 + 45c + -1[(-6 + 8c) + 2] = 0 Reorder the terms: -25 + 45c + -1[-6 + 2 + 8c] = 0 Combine like terms: -6 + 2 = -4 -25 + 45c + -1[-4 + 8c] = 0 -25 + 45c + [-4 * -1 + 8c * -1] = 0 -25 + 45c + [4 + -8c] = 0 Reorder the terms: -25 + 4 + 45c + -8c = 0 Combine like terms: -25 + 4 = -21 -21 + 45c + -8c = 0 Combine like terms: 45c + -8c = 37c -21 + 37c = 0 Solving -21 + 37c = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + 37c = 0 + 21 Combine like terms: -21 + 21 = 0 0 + 37c = 0 + 21 37c = 0 + 21 Combine like terms: 0 + 21 = 21 37c = 21 Divide each side by '37'. c = 0.5675675676 Simplifying c = 0.5675675676
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