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Simplifying 5(k + -1) = 3k + -19 Reorder the terms: 5(-1 + k) = 3k + -19 (-1 * 5 + k * 5) = 3k + -19 (-5 + 5k) = 3k + -19 Reorder the terms: -5 + 5k = -19 + 3k Solving -5 + 5k = -19 + 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. -5 + 5k + -3k = -19 + 3k + -3k Combine like terms: 5k + -3k = 2k -5 + 2k = -19 + 3k + -3k Combine like terms: 3k + -3k = 0 -5 + 2k = -19 + 0 -5 + 2k = -19 Add '5' to each side of the equation. -5 + 5 + 2k = -19 + 5 Combine like terms: -5 + 5 = 0 0 + 2k = -19 + 5 2k = -19 + 5 Combine like terms: -19 + 5 = -14 2k = -14 Divide each side by '2'. k = -7 Simplifying k = -7
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