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Simplifying -18k + -6 = -45 + -4k Reorder the terms: -6 + -18k = -45 + -4k Solving -6 + -18k = -45 + -4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4k' to each side of the equation. -6 + -18k + 4k = -45 + -4k + 4k Combine like terms: -18k + 4k = -14k -6 + -14k = -45 + -4k + 4k Combine like terms: -4k + 4k = 0 -6 + -14k = -45 + 0 -6 + -14k = -45 Add '6' to each side of the equation. -6 + 6 + -14k = -45 + 6 Combine like terms: -6 + 6 = 0 0 + -14k = -45 + 6 -14k = -45 + 6 Combine like terms: -45 + 6 = -39 -14k = -39 Divide each side by '-14'. k = 2.785714286 Simplifying k = 2.785714286
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