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Simplifying 3(k + -5) = -5k + -23 Reorder the terms: 3(-5 + k) = -5k + -23 (-5 * 3 + k * 3) = -5k + -23 (-15 + 3k) = -5k + -23 Reorder the terms: -15 + 3k = -23 + -5k Solving -15 + 3k = -23 + -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. -15 + 3k + 5k = -23 + -5k + 5k Combine like terms: 3k + 5k = 8k -15 + 8k = -23 + -5k + 5k Combine like terms: -5k + 5k = 0 -15 + 8k = -23 + 0 -15 + 8k = -23 Add '15' to each side of the equation. -15 + 15 + 8k = -23 + 15 Combine like terms: -15 + 15 = 0 0 + 8k = -23 + 15 8k = -23 + 15 Combine like terms: -23 + 15 = -8 8k = -8 Divide each side by '8'. k = -1 Simplifying k = -1
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