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Simplifying -123 = -3(1 + 5k) -123 = (1 * -3 + 5k * -3) -123 = (-3 + -15k) Solving -123 = -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. -123 + 15k = -3 + -15k + 15k Combine like terms: -15k + 15k = 0 -123 + 15k = -3 + 0 -123 + 15k = -3 Add '123' to each side of the equation. -123 + 123 + 15k = -3 + 123 Combine like terms: -123 + 123 = 0 0 + 15k = -3 + 123 15k = -3 + 123 Combine like terms: -3 + 123 = 120 15k = 120 Divide each side by '15'. k = 8 Simplifying k = 8
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