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Simplifying 13(4c + -7) = 8c + -2 Reorder the terms: 13(-7 + 4c) = 8c + -2 (-7 * 13 + 4c * 13) = 8c + -2 (-91 + 52c) = 8c + -2 Reorder the terms: -91 + 52c = -2 + 8c Solving -91 + 52c = -2 + 8c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-8c' to each side of the equation. -91 + 52c + -8c = -2 + 8c + -8c Combine like terms: 52c + -8c = 44c -91 + 44c = -2 + 8c + -8c Combine like terms: 8c + -8c = 0 -91 + 44c = -2 + 0 -91 + 44c = -2 Add '91' to each side of the equation. -91 + 91 + 44c = -2 + 91 Combine like terms: -91 + 91 = 0 0 + 44c = -2 + 91 44c = -2 + 91 Combine like terms: -2 + 91 = 89 44c = 89 Divide each side by '44'. c = 2.022727273 Simplifying c = 2.022727273
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