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Simplifying 3(k + -6) = -8 + 2(k + -7) Reorder the terms: 3(-6 + k) = -8 + 2(k + -7) (-6 * 3 + k * 3) = -8 + 2(k + -7) (-18 + 3k) = -8 + 2(k + -7) Reorder the terms: -18 + 3k = -8 + 2(-7 + k) -18 + 3k = -8 + (-7 * 2 + k * 2) -18 + 3k = -8 + (-14 + 2k) Combine like terms: -8 + -14 = -22 -18 + 3k = -22 + 2k Solving -18 + 3k = -22 + 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 + 3k + -2k = -22 + 2k + -2k Combine like terms: 3k + -2k = 1k -18 + 1k = -22 + 2k + -2k Combine like terms: 2k + -2k = 0 -18 + 1k = -22 + 0 -18 + 1k = -22 Add '18' to each side of the equation. -18 + 18 + 1k = -22 + 18 Combine like terms: -18 + 18 = 0 0 + 1k = -22 + 18 1k = -22 + 18 Combine like terms: -22 + 18 = -4 1k = -4 Divide each side by '1'. k = -4 Simplifying k = -4
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