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Simplifying 7(5c + -1) + -2 = 83c + 17 Reorder the terms: 7(-1 + 5c) + -2 = 83c + 17 (-1 * 7 + 5c * 7) + -2 = 83c + 17 (-7 + 35c) + -2 = 83c + 17 Reorder the terms: -7 + -2 + 35c = 83c + 17 Combine like terms: -7 + -2 = -9 -9 + 35c = 83c + 17 Reorder the terms: -9 + 35c = 17 + 83c Solving -9 + 35c = 17 + 83c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-83c' to each side of the equation. -9 + 35c + -83c = 17 + 83c + -83c Combine like terms: 35c + -83c = -48c -9 + -48c = 17 + 83c + -83c Combine like terms: 83c + -83c = 0 -9 + -48c = 17 + 0 -9 + -48c = 17 Add '9' to each side of the equation. -9 + 9 + -48c = 17 + 9 Combine like terms: -9 + 9 = 0 0 + -48c = 17 + 9 -48c = 17 + 9 Combine like terms: 17 + 9 = 26 -48c = 26 Divide each side by '-48'. c = -0.5416666667 Simplifying c = -0.5416666667
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