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Simplifying 17k = -7(-10k + -20) + 19 Reorder the terms: 17k = -7(-20 + -10k) + 19 17k = (-20 * -7 + -10k * -7) + 19 17k = (140 + 70k) + 19 Reorder the terms: 17k = 140 + 19 + 70k Combine like terms: 140 + 19 = 159 17k = 159 + 70k Solving 17k = 159 + 70k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-70k' to each side of the equation. 17k + -70k = 159 + 70k + -70k Combine like terms: 17k + -70k = -53k -53k = 159 + 70k + -70k Combine like terms: 70k + -70k = 0 -53k = 159 + 0 -53k = 159 Divide each side by '-53'. k = -3 Simplifying k = -3
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