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Simplifying 20 = -9 + 8(c + -7) Reorder the terms: 20 = -9 + 8(-7 + c) 20 = -9 + (-7 * 8 + c * 8) 20 = -9 + (-56 + 8c) Combine like terms: -9 + -56 = -65 20 = -65 + 8c Solving 20 = -65 + 8c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-8c' to each side of the equation. 20 + -8c = -65 + 8c + -8c Combine like terms: 8c + -8c = 0 20 + -8c = -65 + 0 20 + -8c = -65 Add '-20' to each side of the equation. 20 + -20 + -8c = -65 + -20 Combine like terms: 20 + -20 = 0 0 + -8c = -65 + -20 -8c = -65 + -20 Combine like terms: -65 + -20 = -85 -8c = -85 Divide each side by '-8'. c = 10.625 Simplifying c = 10.625
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