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Simplifying -7(-8c + -6) = -13 + c Reorder the terms: -7(-6 + -8c) = -13 + c (-6 * -7 + -8c * -7) = -13 + c (42 + 56c) = -13 + c Solving 42 + 56c = -13 + c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1c' to each side of the equation. 42 + 56c + -1c = -13 + c + -1c Combine like terms: 56c + -1c = 55c 42 + 55c = -13 + c + -1c Combine like terms: c + -1c = 0 42 + 55c = -13 + 0 42 + 55c = -13 Add '-42' to each side of the equation. 42 + -42 + 55c = -13 + -42 Combine like terms: 42 + -42 = 0 0 + 55c = -13 + -42 55c = -13 + -42 Combine like terms: -13 + -42 = -55 55c = -55 Divide each side by '55'. c = -1 Simplifying c = -1
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