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Simplifying 8c + 3(2c + -4) + -2 + -1(-6c + 5) = 0 Reorder the terms: 8c + 3(-4 + 2c) + -2 + -1(-6c + 5) = 0 8c + (-4 * 3 + 2c * 3) + -2 + -1(-6c + 5) = 0 8c + (-12 + 6c) + -2 + -1(-6c + 5) = 0 Reorder the terms: 8c + -12 + 6c + -2 + -1(5 + -6c) = 0 8c + -12 + 6c + -2 + (5 * -1 + -6c * -1) = 0 8c + -12 + 6c + -2 + (-5 + 6c) = 0 Reorder the terms: -12 + -2 + -5 + 8c + 6c + 6c = 0 Combine like terms: -12 + -2 = -14 -14 + -5 + 8c + 6c + 6c = 0 Combine like terms: -14 + -5 = -19 -19 + 8c + 6c + 6c = 0 Combine like terms: 8c + 6c = 14c -19 + 14c + 6c = 0 Combine like terms: 14c + 6c = 20c -19 + 20c = 0 Solving -19 + 20c = 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 + 20c = 0 + 19 Combine like terms: -19 + 19 = 0 0 + 20c = 0 + 19 20c = 0 + 19 Combine like terms: 0 + 19 = 19 20c = 19 Divide each side by '20'. c = 0.95 Simplifying c = 0.95
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