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Simplifying 3(8 + -1c) + -7 = 13(8 + -1c) (8 * 3 + -1c * 3) + -7 = 13(8 + -1c) (24 + -3c) + -7 = 13(8 + -1c) Reorder the terms: 24 + -7 + -3c = 13(8 + -1c) Combine like terms: 24 + -7 = 17 17 + -3c = 13(8 + -1c) 17 + -3c = (8 * 13 + -1c * 13) 17 + -3c = (104 + -13c) Solving 17 + -3c = 104 + -13c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '13c' to each side of the equation. 17 + -3c + 13c = 104 + -13c + 13c Combine like terms: -3c + 13c = 10c 17 + 10c = 104 + -13c + 13c Combine like terms: -13c + 13c = 0 17 + 10c = 104 + 0 17 + 10c = 104 Add '-17' to each side of the equation. 17 + -17 + 10c = 104 + -17 Combine like terms: 17 + -17 = 0 0 + 10c = 104 + -17 10c = 104 + -17 Combine like terms: 104 + -17 = 87 10c = 87 Divide each side by '10'. c = 8.7 Simplifying c = 8.7
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