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Simplifying 10(k + -7) = -1(5k + 4) + -7k Reorder the terms: 10(-7 + k) = -1(5k + 4) + -7k (-7 * 10 + k * 10) = -1(5k + 4) + -7k (-70 + 10k) = -1(5k + 4) + -7k Reorder the terms: -70 + 10k = -1(4 + 5k) + -7k -70 + 10k = (4 * -1 + 5k * -1) + -7k -70 + 10k = (-4 + -5k) + -7k Combine like terms: -5k + -7k = -12k -70 + 10k = -4 + -12k Solving -70 + 10k = -4 + -12k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '12k' to each side of the equation. -70 + 10k + 12k = -4 + -12k + 12k Combine like terms: 10k + 12k = 22k -70 + 22k = -4 + -12k + 12k Combine like terms: -12k + 12k = 0 -70 + 22k = -4 + 0 -70 + 22k = -4 Add '70' to each side of the equation. -70 + 70 + 22k = -4 + 70 Combine like terms: -70 + 70 = 0 0 + 22k = -4 + 70 22k = -4 + 70 Combine like terms: -4 + 70 = 66 22k = 66 Divide each side by '22'. k = 3 Simplifying k = 3
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