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Simplifying -51 + -23k = -10k + 1k Combine like terms: -10k + 1k = -9k -51 + -23k = -9k Solving -51 + -23k = -9k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '9k' to each side of the equation. -51 + -23k + 9k = -9k + 9k Combine like terms: -23k + 9k = -14k -51 + -14k = -9k + 9k Combine like terms: -9k + 9k = 0 -51 + -14k = 0 Add '51' to each side of the equation. -51 + 51 + -14k = 0 + 51 Combine like terms: -51 + 51 = 0 0 + -14k = 0 + 51 -14k = 0 + 51 Combine like terms: 0 + 51 = 51 -14k = 51 Divide each side by '-14'. k = -3.642857143 Simplifying k = -3.642857143
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