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Simplifying -147 = 3(6k + -1) Reorder the terms: -147 = 3(-1 + 6k) -147 = (-1 * 3 + 6k * 3) -147 = (-3 + 18k) Solving -147 = -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. -147 + -18k = -3 + 18k + -18k Combine like terms: 18k + -18k = 0 -147 + -18k = -3 + 0 -147 + -18k = -3 Add '147' to each side of the equation. -147 + 147 + -18k = -3 + 147 Combine like terms: -147 + 147 = 0 0 + -18k = -3 + 147 -18k = -3 + 147 Combine like terms: -3 + 147 = 144 -18k = 144 Divide each side by '-18'. k = -8 Simplifying k = -8
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