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Simplifying 13(c + 6) + -3 = 3x + -5 Reorder the terms: 13(6 + c) + -3 = 3x + -5 (6 * 13 + c * 13) + -3 = 3x + -5 (78 + 13c) + -3 = 3x + -5 Reorder the terms: 78 + -3 + 13c = 3x + -5 Combine like terms: 78 + -3 = 75 75 + 13c = 3x + -5 Reorder the terms: 75 + 13c = -5 + 3x Solving 75 + 13c = -5 + 3x Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-75' to each side of the equation. 75 + -75 + 13c = -5 + -75 + 3x Combine like terms: 75 + -75 = 0 0 + 13c = -5 + -75 + 3x 13c = -5 + -75 + 3x Combine like terms: -5 + -75 = -80 13c = -80 + 3x Divide each side by '13'. c = -6.153846154 + 0.2307692308x Simplifying c = -6.153846154 + 0.2307692308x
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