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Simplifying -30 + -5k = -5(5 + 2k) -30 + -5k = (5 * -5 + 2k * -5) -30 + -5k = (-25 + -10k) Solving -30 + -5k = -25 + -10k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '10k' to each side of the equation. -30 + -5k + 10k = -25 + -10k + 10k Combine like terms: -5k + 10k = 5k -30 + 5k = -25 + -10k + 10k Combine like terms: -10k + 10k = 0 -30 + 5k = -25 + 0 -30 + 5k = -25 Add '30' to each side of the equation. -30 + 30 + 5k = -25 + 30 Combine like terms: -30 + 30 = 0 0 + 5k = -25 + 30 5k = -25 + 30 Combine like terms: -25 + 30 = 5 5k = 5 Divide each side by '5'. k = 1 Simplifying k = 1
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