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Simplifying -23 = 5(-1k + -3) + 2 Reorder the terms: -23 = 5(-3 + -1k) + 2 -23 = (-3 * 5 + -1k * 5) + 2 -23 = (-15 + -5k) + 2 Reorder the terms: -23 = -15 + 2 + -5k Combine like terms: -15 + 2 = -13 -23 = -13 + -5k Solving -23 = -13 + -5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5k' to each side of the equation. -23 + 5k = -13 + -5k + 5k Combine like terms: -5k + 5k = 0 -23 + 5k = -13 + 0 -23 + 5k = -13 Add '23' to each side of the equation. -23 + 23 + 5k = -13 + 23 Combine like terms: -23 + 23 = 0 0 + 5k = -13 + 23 5k = -13 + 23 Combine like terms: -13 + 23 = 10 5k = 10 Divide each side by '5'. k = 2 Simplifying k = 2
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