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Simplifying 17 = -6(4k + -8) Reorder the terms: 17 = -6(-8 + 4k) 17 = (-8 * -6 + 4k * -6) 17 = (48 + -24k) Solving 17 = 48 + -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. 17 + 24k = 48 + -24k + 24k Combine like terms: -24k + 24k = 0 17 + 24k = 48 + 0 17 + 24k = 48 Add '-17' to each side of the equation. 17 + -17 + 24k = 48 + -17 Combine like terms: 17 + -17 = 0 0 + 24k = 48 + -17 24k = 48 + -17 Combine like terms: 48 + -17 = 31 24k = 31 Divide each side by '24'. k = 1.291666667 Simplifying k = 1.291666667
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