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Simplifying -7(-11c + -8) + 17 = 8c + -10 + -14c Reorder the terms: -7(-8 + -11c) + 17 = 8c + -10 + -14c (-8 * -7 + -11c * -7) + 17 = 8c + -10 + -14c (56 + 77c) + 17 = 8c + -10 + -14c Reorder the terms: 56 + 17 + 77c = 8c + -10 + -14c Combine like terms: 56 + 17 = 73 73 + 77c = 8c + -10 + -14c Reorder the terms: 73 + 77c = -10 + 8c + -14c Combine like terms: 8c + -14c = -6c 73 + 77c = -10 + -6c Solving 73 + 77c = -10 + -6c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '6c' to each side of the equation. 73 + 77c + 6c = -10 + -6c + 6c Combine like terms: 77c + 6c = 83c 73 + 83c = -10 + -6c + 6c Combine like terms: -6c + 6c = 0 73 + 83c = -10 + 0 73 + 83c = -10 Add '-73' to each side of the equation. 73 + -73 + 83c = -10 + -73 Combine like terms: 73 + -73 = 0 0 + 83c = -10 + -73 83c = -10 + -73 Combine like terms: -10 + -73 = -83 83c = -83 Divide each side by '83'. c = -1 Simplifying c = -1
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