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Simplifying -9 + -3k = 3(-1 + 5k) -9 + -3k = (-1 * 3 + 5k * 3) -9 + -3k = (-3 + 15k) Solving -9 + -3k = -3 + 15k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-15k' to each side of the equation. -9 + -3k + -15k = -3 + 15k + -15k Combine like terms: -3k + -15k = -18k -9 + -18k = -3 + 15k + -15k Combine like terms: 15k + -15k = 0 -9 + -18k = -3 + 0 -9 + -18k = -3 Add '9' to each side of the equation. -9 + 9 + -18k = -3 + 9 Combine like terms: -9 + 9 = 0 0 + -18k = -3 + 9 -18k = -3 + 9 Combine like terms: -3 + 9 = 6 -18k = 6 Divide each side by '-18'. k = -0.3333333333 Simplifying k = -0.3333333333
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