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Simplifying 13(c + -40) = 26 + 7c Reorder the terms: 13(-40 + c) = 26 + 7c (-40 * 13 + c * 13) = 26 + 7c (-520 + 13c) = 26 + 7c Solving -520 + 13c = 26 + 7c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-7c' to each side of the equation. -520 + 13c + -7c = 26 + 7c + -7c Combine like terms: 13c + -7c = 6c -520 + 6c = 26 + 7c + -7c Combine like terms: 7c + -7c = 0 -520 + 6c = 26 + 0 -520 + 6c = 26 Add '520' to each side of the equation. -520 + 520 + 6c = 26 + 520 Combine like terms: -520 + 520 = 0 0 + 6c = 26 + 520 6c = 26 + 520 Combine like terms: 26 + 520 = 546 6c = 546 Divide each side by '6'. c = 91 Simplifying c = 91
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