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Simplifying -4k + -40 = 14k + 14 Reorder the terms: -40 + -4k = 14k + 14 Reorder the terms: -40 + -4k = 14 + 14k Solving -40 + -4k = 14 + 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. -40 + -4k + -14k = 14 + 14k + -14k Combine like terms: -4k + -14k = -18k -40 + -18k = 14 + 14k + -14k Combine like terms: 14k + -14k = 0 -40 + -18k = 14 + 0 -40 + -18k = 14 Add '40' to each side of the equation. -40 + 40 + -18k = 14 + 40 Combine like terms: -40 + 40 = 0 0 + -18k = 14 + 40 -18k = 14 + 40 Combine like terms: 14 + 40 = 54 -18k = 54 Divide each side by '-18'. k = -3 Simplifying k = -3
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