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Simplifying 19 + 6k = -7(3 + 2k) 19 + 6k = (3 * -7 + 2k * -7) 19 + 6k = (-21 + -14k) Solving 19 + 6k = -21 + -14k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '14k' to each side of the equation. 19 + 6k + 14k = -21 + -14k + 14k Combine like terms: 6k + 14k = 20k 19 + 20k = -21 + -14k + 14k Combine like terms: -14k + 14k = 0 19 + 20k = -21 + 0 19 + 20k = -21 Add '-19' to each side of the equation. 19 + -19 + 20k = -21 + -19 Combine like terms: 19 + -19 = 0 0 + 20k = -21 + -19 20k = -21 + -19 Combine like terms: -21 + -19 = -40 20k = -40 Divide each side by '20'. k = -2 Simplifying k = -2
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