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Simplifying 6(3c + -4) + -1(-7c) = 4(2c + -14) + -3c Reorder the terms: 6(-4 + 3c) + -1(-7c) = 4(2c + -14) + -3c (-4 * 6 + 3c * 6) + -1(-7c) = 4(2c + -14) + -3c (-24 + 18c) + -1(-7c) = 4(2c + -14) + -3c Remove parenthesis around (-7c) -24 + 18c + -1 * -7c = 4(2c + -14) + -3c Multiply -1 * -7 -24 + 18c + 7c = 4(2c + -14) + -3c Combine like terms: 18c + 7c = 25c -24 + 25c = 4(2c + -14) + -3c Reorder the terms: -24 + 25c = 4(-14 + 2c) + -3c -24 + 25c = (-14 * 4 + 2c * 4) + -3c -24 + 25c = (-56 + 8c) + -3c Combine like terms: 8c + -3c = 5c -24 + 25c = -56 + 5c Solving -24 + 25c = -56 + 5c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-5c' to each side of the equation. -24 + 25c + -5c = -56 + 5c + -5c Combine like terms: 25c + -5c = 20c -24 + 20c = -56 + 5c + -5c Combine like terms: 5c + -5c = 0 -24 + 20c = -56 + 0 -24 + 20c = -56 Add '24' to each side of the equation. -24 + 24 + 20c = -56 + 24 Combine like terms: -24 + 24 = 0 0 + 20c = -56 + 24 20c = -56 + 24 Combine like terms: -56 + 24 = -32 20c = -32 Divide each side by '20'. c = -1.6 Simplifying c = -1.6
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