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Simplifying 9(c + -10) + -4c = 8c + 27 Reorder the terms: 9(-10 + c) + -4c = 8c + 27 (-10 * 9 + c * 9) + -4c = 8c + 27 (-90 + 9c) + -4c = 8c + 27 Combine like terms: 9c + -4c = 5c -90 + 5c = 8c + 27 Reorder the terms: -90 + 5c = 27 + 8c Solving -90 + 5c = 27 + 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. -90 + 5c + -8c = 27 + 8c + -8c Combine like terms: 5c + -8c = -3c -90 + -3c = 27 + 8c + -8c Combine like terms: 8c + -8c = 0 -90 + -3c = 27 + 0 -90 + -3c = 27 Add '90' to each side of the equation. -90 + 90 + -3c = 27 + 90 Combine like terms: -90 + 90 = 0 0 + -3c = 27 + 90 -3c = 27 + 90 Combine like terms: 27 + 90 = 117 -3c = 117 Divide each side by '-3'. c = -39 Simplifying c = -39
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