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Simplifying 2(2k + -5) + -1k = 4 + -1(3k + 7) Reorder the terms: 2(-5 + 2k) + -1k = 4 + -1(3k + 7) (-5 * 2 + 2k * 2) + -1k = 4 + -1(3k + 7) (-10 + 4k) + -1k = 4 + -1(3k + 7) Combine like terms: 4k + -1k = 3k -10 + 3k = 4 + -1(3k + 7) Reorder the terms: -10 + 3k = 4 + -1(7 + 3k) -10 + 3k = 4 + (7 * -1 + 3k * -1) -10 + 3k = 4 + (-7 + -3k) Combine like terms: 4 + -7 = -3 -10 + 3k = -3 + -3k Solving -10 + 3k = -3 + -3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3k' to each side of the equation. -10 + 3k + 3k = -3 + -3k + 3k Combine like terms: 3k + 3k = 6k -10 + 6k = -3 + -3k + 3k Combine like terms: -3k + 3k = 0 -10 + 6k = -3 + 0 -10 + 6k = -3 Add '10' to each side of the equation. -10 + 10 + 6k = -3 + 10 Combine like terms: -10 + 10 = 0 0 + 6k = -3 + 10 6k = -3 + 10 Combine like terms: -3 + 10 = 7 6k = 7 Divide each side by '6'. k = 1.166666667 Simplifying k = 1.166666667
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