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Simplifying 4(k + 5) = 2(9t + -2) Reorder the terms: 4(5 + k) = 2(9t + -2) (5 * 4 + k * 4) = 2(9t + -2) (20 + 4k) = 2(9t + -2) Reorder the terms: 20 + 4k = 2(-2 + 9t) 20 + 4k = (-2 * 2 + 9t * 2) 20 + 4k = (-4 + 18t) Solving 20 + 4k = -4 + 18t Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 4k = -4 + -20 + 18t Combine like terms: 20 + -20 = 0 0 + 4k = -4 + -20 + 18t 4k = -4 + -20 + 18t Combine like terms: -4 + -20 = -24 4k = -24 + 18t Divide each side by '4'. k = -6 + 4.5t Simplifying k = -6 + 4.5t
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