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Simplifying 17 + -1(4k + -2) = 2(k + 3) Reorder the terms: 17 + -1(-2 + 4k) = 2(k + 3) 17 + (-2 * -1 + 4k * -1) = 2(k + 3) 17 + (2 + -4k) = 2(k + 3) Combine like terms: 17 + 2 = 19 19 + -4k = 2(k + 3) Reorder the terms: 19 + -4k = 2(3 + k) 19 + -4k = (3 * 2 + k * 2) 19 + -4k = (6 + 2k) Solving 19 + -4k = 6 + 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. 19 + -4k + -2k = 6 + 2k + -2k Combine like terms: -4k + -2k = -6k 19 + -6k = 6 + 2k + -2k Combine like terms: 2k + -2k = 0 19 + -6k = 6 + 0 19 + -6k = 6 Add '-19' to each side of the equation. 19 + -19 + -6k = 6 + -19 Combine like terms: 19 + -19 = 0 0 + -6k = 6 + -19 -6k = 6 + -19 Combine like terms: 6 + -19 = -13 -6k = -13 Divide each side by '-6'. k = 2.166666667 Simplifying k = 2.166666667
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