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Simplifying 19 + k = -2(k + 1) + 3 Reorder the terms: 19 + k = -2(1 + k) + 3 19 + k = (1 * -2 + k * -2) + 3 19 + k = (-2 + -2k) + 3 Reorder the terms: 19 + k = -2 + 3 + -2k Combine like terms: -2 + 3 = 1 19 + k = 1 + -2k Solving 19 + k = 1 + -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. 19 + k + 2k = 1 + -2k + 2k Combine like terms: k + 2k = 3k 19 + 3k = 1 + -2k + 2k Combine like terms: -2k + 2k = 0 19 + 3k = 1 + 0 19 + 3k = 1 Add '-19' to each side of the equation. 19 + -19 + 3k = 1 + -19 Combine like terms: 19 + -19 = 0 0 + 3k = 1 + -19 3k = 1 + -19 Combine like terms: 1 + -19 = -18 3k = -18 Divide each side by '3'. k = -6 Simplifying k = -6
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