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Simplifying 6(k + -5) + -1(2k + -4) = 7k Reorder the terms: 6(-5 + k) + -1(2k + -4) = 7k (-5 * 6 + k * 6) + -1(2k + -4) = 7k (-30 + 6k) + -1(2k + -4) = 7k Reorder the terms: -30 + 6k + -1(-4 + 2k) = 7k -30 + 6k + (-4 * -1 + 2k * -1) = 7k -30 + 6k + (4 + -2k) = 7k Reorder the terms: -30 + 4 + 6k + -2k = 7k Combine like terms: -30 + 4 = -26 -26 + 6k + -2k = 7k Combine like terms: 6k + -2k = 4k -26 + 4k = 7k Solving -26 + 4k = 7k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-7k' to each side of the equation. -26 + 4k + -7k = 7k + -7k Combine like terms: 4k + -7k = -3k -26 + -3k = 7k + -7k Combine like terms: 7k + -7k = 0 -26 + -3k = 0 Add '26' to each side of the equation. -26 + 26 + -3k = 0 + 26 Combine like terms: -26 + 26 = 0 0 + -3k = 0 + 26 -3k = 0 + 26 Combine like terms: 0 + 26 = 26 -3k = 26 Divide each side by '-3'. k = -8.666666667 Simplifying k = -8.666666667
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