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Simplifying 5(k + 5) = 2(9k + -4) Reorder the terms: 5(5 + k) = 2(9k + -4) (5 * 5 + k * 5) = 2(9k + -4) (25 + 5k) = 2(9k + -4) Reorder the terms: 25 + 5k = 2(-4 + 9k) 25 + 5k = (-4 * 2 + 9k * 2) 25 + 5k = (-8 + 18k) Solving 25 + 5k = -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. 25 + 5k + -18k = -8 + 18k + -18k Combine like terms: 5k + -18k = -13k 25 + -13k = -8 + 18k + -18k Combine like terms: 18k + -18k = 0 25 + -13k = -8 + 0 25 + -13k = -8 Add '-25' to each side of the equation. 25 + -25 + -13k = -8 + -25 Combine like terms: 25 + -25 = 0 0 + -13k = -8 + -25 -13k = -8 + -25 Combine like terms: -8 + -25 = -33 -13k = -33 Divide each side by '-13'. k = 2.538461538 Simplifying k = 2.538461538
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