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Simplifying -4 + 13c = -7(3c + 20) Reorder the terms: -4 + 13c = -7(20 + 3c) -4 + 13c = (20 * -7 + 3c * -7) -4 + 13c = (-140 + -21c) Solving -4 + 13c = -140 + -21c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '21c' to each side of the equation. -4 + 13c + 21c = -140 + -21c + 21c Combine like terms: 13c + 21c = 34c -4 + 34c = -140 + -21c + 21c Combine like terms: -21c + 21c = 0 -4 + 34c = -140 + 0 -4 + 34c = -140 Add '4' to each side of the equation. -4 + 4 + 34c = -140 + 4 Combine like terms: -4 + 4 = 0 0 + 34c = -140 + 4 34c = -140 + 4 Combine like terms: -140 + 4 = -136 34c = -136 Divide each side by '34'. c = -4 Simplifying c = -4
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