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Simplifying 3(18 + -15k) = -3(-3 + 14k) (18 * 3 + -15k * 3) = -3(-3 + 14k) (54 + -45k) = -3(-3 + 14k) 54 + -45k = (-3 * -3 + 14k * -3) 54 + -45k = (9 + -42k) Solving 54 + -45k = 9 + -42k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '42k' to each side of the equation. 54 + -45k + 42k = 9 + -42k + 42k Combine like terms: -45k + 42k = -3k 54 + -3k = 9 + -42k + 42k Combine like terms: -42k + 42k = 0 54 + -3k = 9 + 0 54 + -3k = 9 Add '-54' to each side of the equation. 54 + -54 + -3k = 9 + -54 Combine like terms: 54 + -54 = 0 0 + -3k = 9 + -54 -3k = 9 + -54 Combine like terms: 9 + -54 = -45 -3k = -45 Divide each side by '-3'. k = 15 Simplifying k = 15
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