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Simplifying -10(x + -7) + -3(k + -10) = 0 Reorder the terms: -10(-7 + x) + -3(k + -10) = 0 (-7 * -10 + x * -10) + -3(k + -10) = 0 (70 + -10x) + -3(k + -10) = 0 Reorder the terms: 70 + -10x + -3(-10 + k) = 0 70 + -10x + (-10 * -3 + k * -3) = 0 70 + -10x + (30 + -3k) = 0 Reorder the terms: 70 + 30 + -3k + -10x = 0 Combine like terms: 70 + 30 = 100 100 + -3k + -10x = 0 Solving 100 + -3k + -10x = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-100' to each side of the equation. 100 + -3k + -100 + -10x = 0 + -100 Reorder the terms: 100 + -100 + -3k + -10x = 0 + -100 Combine like terms: 100 + -100 = 0 0 + -3k + -10x = 0 + -100 -3k + -10x = 0 + -100 Combine like terms: 0 + -100 = -100 -3k + -10x = -100 Add '10x' to each side of the equation. -3k + -10x + 10x = -100 + 10x Combine like terms: -10x + 10x = 0 -3k + 0 = -100 + 10x -3k = -100 + 10x Divide each side by '-3'. k = 33.33333333 + -3.333333333x Simplifying k = 33.33333333 + -3.333333333x
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