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Simplifying 151 = -6(-3 + -3k) + k 151 = (-3 * -6 + -3k * -6) + k 151 = (18 + 18k) + k Combine like terms: 18k + k = 19k 151 = 18 + 19k Solving 151 = 18 + 19k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-19k' to each side of the equation. 151 + -19k = 18 + 19k + -19k Combine like terms: 19k + -19k = 0 151 + -19k = 18 + 0 151 + -19k = 18 Add '-151' to each side of the equation. 151 + -151 + -19k = 18 + -151 Combine like terms: 151 + -151 = 0 0 + -19k = 18 + -151 -19k = 18 + -151 Combine like terms: 18 + -151 = -133 -19k = -133 Divide each side by '-19'. k = 7 Simplifying k = 7
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