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Simplifying -3 + -1(-21) = 6k + 2 Multiply -1 * -21 -3 + 21 = 6k + 2 Combine like terms: -3 + 21 = 18 18 = 6k + 2 Reorder the terms: 18 = 2 + 6k Solving 18 = 2 + 6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. 18 + -6k = 2 + 6k + -6k Combine like terms: 6k + -6k = 0 18 + -6k = 2 + 0 18 + -6k = 2 Add '-18' to each side of the equation. 18 + -18 + -6k = 2 + -18 Combine like terms: 18 + -18 = 0 0 + -6k = 2 + -18 -6k = 2 + -18 Combine like terms: 2 + -18 = -16 -6k = -16 Divide each side by '-6'. k = 2.666666667 Simplifying k = 2.666666667
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