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Simplifying -6(k + 2) + 5 = -3k + 17 Reorder the terms: -6(2 + k) + 5 = -3k + 17 (2 * -6 + k * -6) + 5 = -3k + 17 (-12 + -6k) + 5 = -3k + 17 Reorder the terms: -12 + 5 + -6k = -3k + 17 Combine like terms: -12 + 5 = -7 -7 + -6k = -3k + 17 Reorder the terms: -7 + -6k = 17 + -3k Solving -7 + -6k = 17 + -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. -7 + -6k + 3k = 17 + -3k + 3k Combine like terms: -6k + 3k = -3k -7 + -3k = 17 + -3k + 3k Combine like terms: -3k + 3k = 0 -7 + -3k = 17 + 0 -7 + -3k = 17 Add '7' to each side of the equation. -7 + 7 + -3k = 17 + 7 Combine like terms: -7 + 7 = 0 0 + -3k = 17 + 7 -3k = 17 + 7 Combine like terms: 17 + 7 = 24 -3k = 24 Divide each side by '-3'. k = -8 Simplifying k = -8
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