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Simplifying 13(2c + -6) = 4c + -7 Reorder the terms: 13(-6 + 2c) = 4c + -7 (-6 * 13 + 2c * 13) = 4c + -7 (-78 + 26c) = 4c + -7 Reorder the terms: -78 + 26c = -7 + 4c Solving -78 + 26c = -7 + 4c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4c' to each side of the equation. -78 + 26c + -4c = -7 + 4c + -4c Combine like terms: 26c + -4c = 22c -78 + 22c = -7 + 4c + -4c Combine like terms: 4c + -4c = 0 -78 + 22c = -7 + 0 -78 + 22c = -7 Add '78' to each side of the equation. -78 + 78 + 22c = -7 + 78 Combine like terms: -78 + 78 = 0 0 + 22c = -7 + 78 22c = -7 + 78 Combine like terms: -7 + 78 = 71 22c = 71 Divide each side by '22'. c = 3.227272727 Simplifying c = 3.227272727
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