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Simplifying 18 = 5(6k + -19) Reorder the terms: 18 = 5(-19 + 6k) 18 = (-19 * 5 + 6k * 5) 18 = (-95 + 30k) Solving 18 = -95 + 30k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-30k' to each side of the equation. 18 + -30k = -95 + 30k + -30k Combine like terms: 30k + -30k = 0 18 + -30k = -95 + 0 18 + -30k = -95 Add '-18' to each side of the equation. 18 + -18 + -30k = -95 + -18 Combine like terms: 18 + -18 = 0 0 + -30k = -95 + -18 -30k = -95 + -18 Combine like terms: -95 + -18 = -113 -30k = -113 Divide each side by '-30'. k = 3.766666667 Simplifying k = 3.766666667
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