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Simplifying 3(8 + -1c) + -7 = 13 + -1(8 + -1c) (8 * 3 + -1c * 3) + -7 = 13 + -1(8 + -1c) (24 + -3c) + -7 = 13 + -1(8 + -1c) Reorder the terms: 24 + -7 + -3c = 13 + -1(8 + -1c) Combine like terms: 24 + -7 = 17 17 + -3c = 13 + -1(8 + -1c) 17 + -3c = 13 + (8 * -1 + -1c * -1) 17 + -3c = 13 + (-8 + 1c) Combine like terms: 13 + -8 = 5 17 + -3c = 5 + 1c Solving 17 + -3c = 5 + 1c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1c' to each side of the equation. 17 + -3c + -1c = 5 + 1c + -1c Combine like terms: -3c + -1c = -4c 17 + -4c = 5 + 1c + -1c Combine like terms: 1c + -1c = 0 17 + -4c = 5 + 0 17 + -4c = 5 Add '-17' to each side of the equation. 17 + -17 + -4c = 5 + -17 Combine like terms: 17 + -17 = 0 0 + -4c = 5 + -17 -4c = 5 + -17 Combine like terms: 5 + -17 = -12 -4c = -12 Divide each side by '-4'. c = 3 Simplifying c = 3
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