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Simplifying 17 = 5(-7 + -4k) + 4(1 + 8x) 17 = (-7 * 5 + -4k * 5) + 4(1 + 8x) 17 = (-35 + -20k) + 4(1 + 8x) 17 = -35 + -20k + (1 * 4 + 8x * 4) 17 = -35 + -20k + (4 + 32x) Reorder the terms: 17 = -35 + 4 + -20k + 32x Combine like terms: -35 + 4 = -31 17 = -31 + -20k + 32x Solving 17 = -31 + -20k + 32x Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '20k' to each side of the equation. 17 + 20k = -31 + -20k + 20k + 32x Combine like terms: -20k + 20k = 0 17 + 20k = -31 + 0 + 32x 17 + 20k = -31 + 32x Add '-17' to each side of the equation. 17 + -17 + 20k = -31 + -17 + 32x Combine like terms: 17 + -17 = 0 0 + 20k = -31 + -17 + 32x 20k = -31 + -17 + 32x Combine like terms: -31 + -17 = -48 20k = -48 + 32x Divide each side by '20'. k = -2.4 + 1.6x Simplifying k = -2.4 + 1.6x
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