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Simplifying 18(k + -7) = 14k + -36 Reorder the terms: 18(-7 + k) = 14k + -36 (-7 * 18 + k * 18) = 14k + -36 (-126 + 18k) = 14k + -36 Reorder the terms: -126 + 18k = -36 + 14k Solving -126 + 18k = -36 + 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. -126 + 18k + -14k = -36 + 14k + -14k Combine like terms: 18k + -14k = 4k -126 + 4k = -36 + 14k + -14k Combine like terms: 14k + -14k = 0 -126 + 4k = -36 + 0 -126 + 4k = -36 Add '126' to each side of the equation. -126 + 126 + 4k = -36 + 126 Combine like terms: -126 + 126 = 0 0 + 4k = -36 + 126 4k = -36 + 126 Combine like terms: -36 + 126 = 90 4k = 90 Divide each side by '4'. k = 22.5 Simplifying k = 22.5
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