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Simplifying -1 + -6(5 + 3k) = 120 + -1 -1 + (5 * -6 + 3k * -6) = 120 + -1 -1 + (-30 + -18k) = 120 + -1 Combine like terms: -1 + -30 = -31 -31 + -18k = 120 + -1 Combine like terms: 120 + -1 = 119 -31 + -18k = 119 Solving -31 + -18k = 119 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '31' to each side of the equation. -31 + 31 + -18k = 119 + 31 Combine like terms: -31 + 31 = 0 0 + -18k = 119 + 31 -18k = 119 + 31 Combine like terms: 119 + 31 = 150 -18k = 150 Divide each side by '-18'. k = -8.333333333 Simplifying k = -8.333333333
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