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Simplifying 6k + 3(k + -5) = -5k + -1 Reorder the terms: 6k + 3(-5 + k) = -5k + -1 6k + (-5 * 3 + k * 3) = -5k + -1 6k + (-15 + 3k) = -5k + -1 Reorder the terms: -15 + 6k + 3k = -5k + -1 Combine like terms: 6k + 3k = 9k -15 + 9k = -5k + -1 Reorder the terms: -15 + 9k = -1 + -5k Solving -15 + 9k = -1 + -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 + 9k + 5k = -1 + -5k + 5k Combine like terms: 9k + 5k = 14k -15 + 14k = -1 + -5k + 5k Combine like terms: -5k + 5k = 0 -15 + 14k = -1 + 0 -15 + 14k = -1 Add '15' to each side of the equation. -15 + 15 + 14k = -1 + 15 Combine like terms: -15 + 15 = 0 0 + 14k = -1 + 15 14k = -1 + 15 Combine like terms: -1 + 15 = 14 14k = 14 Divide each side by '14'. k = 1 Simplifying k = 1
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