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Simplifying -10(x + -7) + -7(k + -10) = 0 Reorder the terms: -10(-7 + x) + -7(k + -10) = 0 (-7 * -10 + x * -10) + -7(k + -10) = 0 (70 + -10x) + -7(k + -10) = 0 Reorder the terms: 70 + -10x + -7(-10 + k) = 0 70 + -10x + (-10 * -7 + k * -7) = 0 70 + -10x + (70 + -7k) = 0 Reorder the terms: 70 + 70 + -7k + -10x = 0 Combine like terms: 70 + 70 = 140 140 + -7k + -10x = 0 Solving 140 + -7k + -10x = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-140' to each side of the equation. 140 + -7k + -140 + -10x = 0 + -140 Reorder the terms: 140 + -140 + -7k + -10x = 0 + -140 Combine like terms: 140 + -140 = 0 0 + -7k + -10x = 0 + -140 -7k + -10x = 0 + -140 Combine like terms: 0 + -140 = -140 -7k + -10x = -140 Add '10x' to each side of the equation. -7k + -10x + 10x = -140 + 10x Combine like terms: -10x + 10x = 0 -7k + 0 = -140 + 10x -7k = -140 + 10x Divide each side by '-7'. k = 20 + -1.428571429x Simplifying k = 20 + -1.428571429x
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