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Simplifying 112 = 8(3k + 2) Reorder the terms: 112 = 8(2 + 3k) 112 = (2 * 8 + 3k * 8) 112 = (16 + 24k) Solving 112 = 16 + 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. 112 + -24k = 16 + 24k + -24k Combine like terms: 24k + -24k = 0 112 + -24k = 16 + 0 112 + -24k = 16 Add '-112' to each side of the equation. 112 + -112 + -24k = 16 + -112 Combine like terms: 112 + -112 = 0 0 + -24k = 16 + -112 -24k = 16 + -112 Combine like terms: 16 + -112 = -96 -24k = -96 Divide each side by '-24'. k = 4 Simplifying k = 4
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