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Simplifying 2(2k + -7) + -4 = -1(2k + -7) Reorder the terms: 2(-7 + 2k) + -4 = -1(2k + -7) (-7 * 2 + 2k * 2) + -4 = -1(2k + -7) (-14 + 4k) + -4 = -1(2k + -7) Reorder the terms: -14 + -4 + 4k = -1(2k + -7) Combine like terms: -14 + -4 = -18 -18 + 4k = -1(2k + -7) Reorder the terms: -18 + 4k = -1(-7 + 2k) -18 + 4k = (-7 * -1 + 2k * -1) -18 + 4k = (7 + -2k) Solving -18 + 4k = 7 + -2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2k' to each side of the equation. -18 + 4k + 2k = 7 + -2k + 2k Combine like terms: 4k + 2k = 6k -18 + 6k = 7 + -2k + 2k Combine like terms: -2k + 2k = 0 -18 + 6k = 7 + 0 -18 + 6k = 7 Add '18' to each side of the equation. -18 + 18 + 6k = 7 + 18 Combine like terms: -18 + 18 = 0 0 + 6k = 7 + 18 6k = 7 + 18 Combine like terms: 7 + 18 = 25 6k = 25 Divide each side by '6'. k = 4.166666667 Simplifying k = 4.166666667
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