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Simplifying 110 = 8(7k + 1) + -5k Reorder the terms: 110 = 8(1 + 7k) + -5k 110 = (1 * 8 + 7k * 8) + -5k 110 = (8 + 56k) + -5k Combine like terms: 56k + -5k = 51k 110 = 8 + 51k Solving 110 = 8 + 51k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-51k' to each side of the equation. 110 + -51k = 8 + 51k + -51k Combine like terms: 51k + -51k = 0 110 + -51k = 8 + 0 110 + -51k = 8 Add '-110' to each side of the equation. 110 + -110 + -51k = 8 + -110 Combine like terms: 110 + -110 = 0 0 + -51k = 8 + -110 -51k = 8 + -110 Combine like terms: 8 + -110 = -102 -51k = -102 Divide each side by '-51'. k = 2 Simplifying k = 2
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