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Simplifying 88 = 4 + 6(4k + 6) Reorder the terms: 88 = 4 + 6(6 + 4k) 88 = 4 + (6 * 6 + 4k * 6) 88 = 4 + (36 + 24k) Combine like terms: 4 + 36 = 40 88 = 40 + 24k Solving 88 = 40 + 24k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-24k' to each side of the equation. 88 + -24k = 40 + 24k + -24k Combine like terms: 24k + -24k = 0 88 + -24k = 40 + 0 88 + -24k = 40 Add '-88' to each side of the equation. 88 + -88 + -24k = 40 + -88 Combine like terms: 88 + -88 = 0 0 + -24k = 40 + -88 -24k = 40 + -88 Combine like terms: 40 + -88 = -48 -24k = -48 Divide each side by '-24'. k = 2 Simplifying k = 2
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