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Simplifying -2(8c + 5) = -23 + -7c Reorder the terms: -2(5 + 8c) = -23 + -7c (5 * -2 + 8c * -2) = -23 + -7c (-10 + -16c) = -23 + -7c Solving -10 + -16c = -23 + -7c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '7c' to each side of the equation. -10 + -16c + 7c = -23 + -7c + 7c Combine like terms: -16c + 7c = -9c -10 + -9c = -23 + -7c + 7c Combine like terms: -7c + 7c = 0 -10 + -9c = -23 + 0 -10 + -9c = -23 Add '10' to each side of the equation. -10 + 10 + -9c = -23 + 10 Combine like terms: -10 + 10 = 0 0 + -9c = -23 + 10 -9c = -23 + 10 Combine like terms: -23 + 10 = -13 -9c = -13 Divide each side by '-9'. c = 1.444444444 Simplifying c = 1.444444444
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