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Simplifying 5(2k + -3) = 15k + -25 Reorder the terms: 5(-3 + 2k) = 15k + -25 (-3 * 5 + 2k * 5) = 15k + -25 (-15 + 10k) = 15k + -25 Reorder the terms: -15 + 10k = -25 + 15k Solving -15 + 10k = -25 + 15k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-15k' to each side of the equation. -15 + 10k + -15k = -25 + 15k + -15k Combine like terms: 10k + -15k = -5k -15 + -5k = -25 + 15k + -15k Combine like terms: 15k + -15k = 0 -15 + -5k = -25 + 0 -15 + -5k = -25 Add '15' to each side of the equation. -15 + 15 + -5k = -25 + 15 Combine like terms: -15 + 15 = 0 0 + -5k = -25 + 15 -5k = -25 + 15 Combine like terms: -25 + 15 = -10 -5k = -10 Divide each side by '-5'. k = 2 Simplifying k = 2
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