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