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Simplifying 13(2c + -6) = 7c + -7 Reorder the terms: 13(-6 + 2c) = 7c + -7 (-6 * 13 + 2c * 13) = 7c + -7 (-78 + 26c) = 7c + -7 Reorder the terms: -78 + 26c = -7 + 7c Solving -78 + 26c = -7 + 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. -78 + 26c + -7c = -7 + 7c + -7c Combine like terms: 26c + -7c = 19c -78 + 19c = -7 + 7c + -7c Combine like terms: 7c + -7c = 0 -78 + 19c = -7 + 0 -78 + 19c = -7 Add '78' to each side of the equation. -78 + 78 + 19c = -7 + 78 Combine like terms: -78 + 78 = 0 0 + 19c = -7 + 78 19c = -7 + 78 Combine like terms: -7 + 78 = 71 19c = 71 Divide each side by '19'. c = 3.736842105 Simplifying c = 3.736842105
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