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Simplifying 7 + -6k = 19 + -3k Solving 7 + -6k = 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. 7 + -6k + 3k = 19 + -3k + 3k Combine like terms: -6k + 3k = -3k 7 + -3k = 19 + -3k + 3k Combine like terms: -3k + 3k = 0 7 + -3k = 19 + 0 7 + -3k = 19 Add '-7' to each side of the equation. 7 + -7 + -3k = 19 + -7 Combine like terms: 7 + -7 = 0 0 + -3k = 19 + -7 -3k = 19 + -7 Combine like terms: 19 + -7 = 12 -3k = 12 Divide each side by '-3'. k = -4 Simplifying k = -4
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