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Simplifying -24 + 2k = 4(5k + 3) Reorder the terms: -24 + 2k = 4(3 + 5k) -24 + 2k = (3 * 4 + 5k * 4) -24 + 2k = (12 + 20k) Solving -24 + 2k = 12 + 20k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-20k' to each side of the equation. -24 + 2k + -20k = 12 + 20k + -20k Combine like terms: 2k + -20k = -18k -24 + -18k = 12 + 20k + -20k Combine like terms: 20k + -20k = 0 -24 + -18k = 12 + 0 -24 + -18k = 12 Add '24' to each side of the equation. -24 + 24 + -18k = 12 + 24 Combine like terms: -24 + 24 = 0 0 + -18k = 12 + 24 -18k = 12 + 24 Combine like terms: 12 + 24 = 36 -18k = 36 Divide each side by '-18'. k = -2 Simplifying k = -2
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