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Simplifying -20 = 6(3k + 7) Reorder the terms: -20 = 6(7 + 3k) -20 = (7 * 6 + 3k * 6) -20 = (42 + 18k) Solving -20 = 42 + 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. -20 + -18k = 42 + 18k + -18k Combine like terms: 18k + -18k = 0 -20 + -18k = 42 + 0 -20 + -18k = 42 Add '20' to each side of the equation. -20 + 20 + -18k = 42 + 20 Combine like terms: -20 + 20 = 0 0 + -18k = 42 + 20 -18k = 42 + 20 Combine like terms: 42 + 20 = 62 -18k = 62 Divide each side by '-18'. k = -3.444444444 Simplifying k = -3.444444444
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