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Simplifying -10 = -3(2 + 6k) + 2 -10 = (2 * -3 + 6k * -3) + 2 -10 = (-6 + -18k) + 2 Reorder the terms: -10 = -6 + 2 + -18k Combine like terms: -6 + 2 = -4 -10 = -4 + -18k Solving -10 = -4 + -18k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '18k' to each side of the equation. -10 + 18k = -4 + -18k + 18k Combine like terms: -18k + 18k = 0 -10 + 18k = -4 + 0 -10 + 18k = -4 Add '10' to each side of the equation. -10 + 10 + 18k = -4 + 10 Combine like terms: -10 + 10 = 0 0 + 18k = -4 + 10 18k = -4 + 10 Combine like terms: -4 + 10 = 6 18k = 6 Divide each side by '18'. k = 0.3333333333 Simplifying k = 0.3333333333
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