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Simplifying 160 = 6k + 8(k + 6) Reorder the terms: 160 = 6k + 8(6 + k) 160 = 6k + (6 * 8 + k * 8) 160 = 6k + (48 + 8k) Reorder the terms: 160 = 48 + 6k + 8k Combine like terms: 6k + 8k = 14k 160 = 48 + 14k Solving 160 = 48 + 14k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-14k' to each side of the equation. 160 + -14k = 48 + 14k + -14k Combine like terms: 14k + -14k = 0 160 + -14k = 48 + 0 160 + -14k = 48 Add '-160' to each side of the equation. 160 + -160 + -14k = 48 + -160 Combine like terms: 160 + -160 = 0 0 + -14k = 48 + -160 -14k = 48 + -160 Combine like terms: 48 + -160 = -112 -14k = -112 Divide each side by '-14'. k = 8 Simplifying k = 8
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