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Simplifying 0 = -7(5c + 3) + -2(3 + 2c) Reorder the terms: 0 = -7(3 + 5c) + -2(3 + 2c) 0 = (3 * -7 + 5c * -7) + -2(3 + 2c) 0 = (-21 + -35c) + -2(3 + 2c) 0 = -21 + -35c + (3 * -2 + 2c * -2) 0 = -21 + -35c + (-6 + -4c) Reorder the terms: 0 = -21 + -6 + -35c + -4c Combine like terms: -21 + -6 = -27 0 = -27 + -35c + -4c Combine like terms: -35c + -4c = -39c 0 = -27 + -39c Solving 0 = -27 + -39c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '39c' to each side of the equation. 0 + 39c = -27 + -39c + 39c Remove the zero: 39c = -27 + -39c + 39c Combine like terms: -39c + 39c = 0 39c = -27 + 0 39c = -27 Divide each side by '39'. c = -0.6923076923 Simplifying c = -0.6923076923
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