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Simplifying 128 = 4k + 5(6 + 2k) 128 = 4k + (6 * 5 + 2k * 5) 128 = 4k + (30 + 10k) Reorder the terms: 128 = 30 + 4k + 10k Combine like terms: 4k + 10k = 14k 128 = 30 + 14k Solving 128 = 30 + 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. 128 + -14k = 30 + 14k + -14k Combine like terms: 14k + -14k = 0 128 + -14k = 30 + 0 128 + -14k = 30 Add '-128' to each side of the equation. 128 + -128 + -14k = 30 + -128 Combine like terms: 128 + -128 = 0 0 + -14k = 30 + -128 -14k = 30 + -128 Combine like terms: 30 + -128 = -98 -14k = -98 Divide each side by '-14'. k = 7 Simplifying k = 7
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