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Simplifying 5(6c + -5) + -1(2(2c + -3) + 3) = 0 Reorder the terms: 5(-5 + 6c) + -1(2(2c + -3) + 3) = 0 (-5 * 5 + 6c * 5) + -1(2(2c + -3) + 3) = 0 (-25 + 30c) + -1(2(2c + -3) + 3) = 0 Reorder the terms: -25 + 30c + -1(2(-3 + 2c) + 3) = 0 -25 + 30c + -1((-3 * 2 + 2c * 2) + 3) = 0 -25 + 30c + -1((-6 + 4c) + 3) = 0 Reorder the terms: -25 + 30c + -1(-6 + 3 + 4c) = 0 Combine like terms: -6 + 3 = -3 -25 + 30c + -1(-3 + 4c) = 0 -25 + 30c + (-3 * -1 + 4c * -1) = 0 -25 + 30c + (3 + -4c) = 0 Reorder the terms: -25 + 3 + 30c + -4c = 0 Combine like terms: -25 + 3 = -22 -22 + 30c + -4c = 0 Combine like terms: 30c + -4c = 26c -22 + 26c = 0 Solving -22 + 26c = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + 26c = 0 + 22 Combine like terms: -22 + 22 = 0 0 + 26c = 0 + 22 26c = 0 + 22 Combine like terms: 0 + 22 = 22 26c = 22 Divide each side by '26'. c = 0.8461538462 Simplifying c = 0.8461538462
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