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Simplifying 10k + -1 = 14k + -43 Reorder the terms: -1 + 10k = 14k + -43 Reorder the terms: -1 + 10k = -43 + 14k Solving -1 + 10k = -43 + 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. -1 + 10k + -14k = -43 + 14k + -14k Combine like terms: 10k + -14k = -4k -1 + -4k = -43 + 14k + -14k Combine like terms: 14k + -14k = 0 -1 + -4k = -43 + 0 -1 + -4k = -43 Add '1' to each side of the equation. -1 + 1 + -4k = -43 + 1 Combine like terms: -1 + 1 = 0 0 + -4k = -43 + 1 -4k = -43 + 1 Combine like terms: -43 + 1 = -42 -4k = -42 Divide each side by '-4'. k = 10.5 Simplifying k = 10.5
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