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Simplifying 3(8 + -1c) + -7 = 13 + -1(5b) (8 * 3 + -1c * 3) + -7 = 13 + -1(5b) (24 + -3c) + -7 = 13 + -1(5b) Reorder the terms: 24 + -7 + -3c = 13 + -1(5b) Combine like terms: 24 + -7 = 17 17 + -3c = 13 + -1(5b) Remove parenthesis around (5b) 17 + -3c = 13 + -1 * 5b Multiply -1 * 5 17 + -3c = 13 + -5b Solving 17 + -3c = 13 + -5b Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -3c = 13 + -17 + -5b Combine like terms: 17 + -17 = 0 0 + -3c = 13 + -17 + -5b -3c = 13 + -17 + -5b Combine like terms: 13 + -17 = -4 -3c = -4 + -5b Divide each side by '-3'. c = 1.333333333 + 1.666666667b Simplifying c = 1.333333333 + 1.666666667b
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