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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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