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Simplifying -3(2k + -7) + 8 = 7 Reorder the terms: -3(-7 + 2k) + 8 = 7 (-7 * -3 + 2k * -3) + 8 = 7 (21 + -6k) + 8 = 7 Reorder the terms: 21 + 8 + -6k = 7 Combine like terms: 21 + 8 = 29 29 + -6k = 7 Solving 29 + -6k = 7 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + -6k = 7 + -29 Combine like terms: 29 + -29 = 0 0 + -6k = 7 + -29 -6k = 7 + -29 Combine like terms: 7 + -29 = -22 -6k = -22 Divide each side by '-6'. k = 3.666666667 Simplifying k = 3.666666667
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