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Simplifying 110 = 5(1 + 3k) 110 = (1 * 5 + 3k * 5) 110 = (5 + 15k) Solving 110 = 5 + 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. 110 + -15k = 5 + 15k + -15k Combine like terms: 15k + -15k = 0 110 + -15k = 5 + 0 110 + -15k = 5 Add '-110' to each side of the equation. 110 + -110 + -15k = 5 + -110 Combine like terms: 110 + -110 = 0 0 + -15k = 5 + -110 -15k = 5 + -110 Combine like terms: 5 + -110 = -105 -15k = -105 Divide each side by '-15'. k = 7 Simplifying k = 7
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