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Simplifying 3(k + -5) + -2(k + 2) + -14 = 27 Reorder the terms: 3(-5 + k) + -2(k + 2) + -14 = 27 (-5 * 3 + k * 3) + -2(k + 2) + -14 = 27 (-15 + 3k) + -2(k + 2) + -14 = 27 Reorder the terms: -15 + 3k + -2(2 + k) + -14 = 27 -15 + 3k + (2 * -2 + k * -2) + -14 = 27 -15 + 3k + (-4 + -2k) + -14 = 27 Reorder the terms: -15 + -4 + -14 + 3k + -2k = 27 Combine like terms: -15 + -4 = -19 -19 + -14 + 3k + -2k = 27 Combine like terms: -19 + -14 = -33 -33 + 3k + -2k = 27 Combine like terms: 3k + -2k = 1k -33 + 1k = 27 Solving -33 + 1k = 27 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '33' to each side of the equation. -33 + 33 + 1k = 27 + 33 Combine like terms: -33 + 33 = 0 0 + 1k = 27 + 33 1k = 27 + 33 Combine like terms: 27 + 33 = 60 1k = 60 Divide each side by '1'. k = 60 Simplifying k = 60
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