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Simplifying -5(3k + 7) + -3k = -107 Reorder the terms: -5(7 + 3k) + -3k = -107 (7 * -5 + 3k * -5) + -3k = -107 (-35 + -15k) + -3k = -107 Combine like terms: -15k + -3k = -18k -35 + -18k = -107 Solving -35 + -18k = -107 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + -18k = -107 + 35 Combine like terms: -35 + 35 = 0 0 + -18k = -107 + 35 -18k = -107 + 35 Combine like terms: -107 + 35 = -72 -18k = -72 Divide each side by '-18'. k = 4 Simplifying k = 4
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