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Simplifying 7 + -1k = 7(1 + 2k) 7 + -1k = (1 * 7 + 2k * 7) 7 + -1k = (7 + 14k) Add '-7' to each side of the equation. 7 + -7 + -1k = 7 + -7 + 14k Combine like terms: 7 + -7 = 0 0 + -1k = 7 + -7 + 14k -1k = 7 + -7 + 14k Combine like terms: 7 + -7 = 0 -1k = 0 + 14k -1k = 14k Solving -1k = 14k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-14k' to each side of the equation. -1k + -14k = 14k + -14k Combine like terms: -1k + -14k = -15k -15k = 14k + -14k Combine like terms: 14k + -14k = 0 -15k = 0 Divide each side by '-15'. k = 0 Simplifying k = 0
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