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Simplifying 4(15 + 5) = 2(9k + -4) Combine like terms: 15 + 5 = 20 4(20) = 2(9k + -4) Multiply 4 * 20 80 = 2(9k + -4) Reorder the terms: 80 = 2(-4 + 9k) 80 = (-4 * 2 + 9k * 2) 80 = (-8 + 18k) Solving 80 = -8 + 18k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-18k' to each side of the equation. 80 + -18k = -8 + 18k + -18k Combine like terms: 18k + -18k = 0 80 + -18k = -8 + 0 80 + -18k = -8 Add '-80' to each side of the equation. 80 + -80 + -18k = -8 + -80 Combine like terms: 80 + -80 = 0 0 + -18k = -8 + -80 -18k = -8 + -80 Combine like terms: -8 + -80 = -88 -18k = -88 Divide each side by '-18'. k = 4.888888889 Simplifying k = 4.888888889
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