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Simplifying -7(8c + -1) + -12 = 54c + 7 Reorder the terms: -7(-1 + 8c) + -12 = 54c + 7 (-1 * -7 + 8c * -7) + -12 = 54c + 7 (7 + -56c) + -12 = 54c + 7 Reorder the terms: 7 + -12 + -56c = 54c + 7 Combine like terms: 7 + -12 = -5 -5 + -56c = 54c + 7 Reorder the terms: -5 + -56c = 7 + 54c Solving -5 + -56c = 7 + 54c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-54c' to each side of the equation. -5 + -56c + -54c = 7 + 54c + -54c Combine like terms: -56c + -54c = -110c -5 + -110c = 7 + 54c + -54c Combine like terms: 54c + -54c = 0 -5 + -110c = 7 + 0 -5 + -110c = 7 Add '5' to each side of the equation. -5 + 5 + -110c = 7 + 5 Combine like terms: -5 + 5 = 0 0 + -110c = 7 + 5 -110c = 7 + 5 Combine like terms: 7 + 5 = 12 -110c = 12 Divide each side by '-110'. c = -0.1090909091 Simplifying c = -0.1090909091
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