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Simplifying -141 = 3(1 + 6k) -141 = (1 * 3 + 6k * 3) -141 = (3 + 18k) Solving -141 = 3 + 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. -141 + -18k = 3 + 18k + -18k Combine like terms: 18k + -18k = 0 -141 + -18k = 3 + 0 -141 + -18k = 3 Add '141' to each side of the equation. -141 + 141 + -18k = 3 + 141 Combine like terms: -141 + 141 = 0 0 + -18k = 3 + 141 -18k = 3 + 141 Combine like terms: 3 + 141 = 144 -18k = 144 Divide each side by '-18'. k = -8 Simplifying k = -8
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