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Simplifying -112 = 8(3k + 4) Reorder the terms: -112 = 8(4 + 3k) -112 = (4 * 8 + 3k * 8) -112 = (32 + 24k) Solving -112 = 32 + 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 = 32 + 24k + -24k Combine like terms: 24k + -24k = 0 -112 + -24k = 32 + 0 -112 + -24k = 32 Add '112' to each side of the equation. -112 + 112 + -24k = 32 + 112 Combine like terms: -112 + 112 = 0 0 + -24k = 32 + 112 -24k = 32 + 112 Combine like terms: 32 + 112 = 144 -24k = 144 Divide each side by '-24'. k = -6 Simplifying k = -6
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