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Simplifying -29 = k + -1(-14) Multiply -1 * -14 -29 = k + 14 Reorder the terms: -29 = 14 + k Solving -29 = 14 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. -29 + -1k = 14 + k + -1k Combine like terms: k + -1k = 0 -29 + -1k = 14 + 0 -29 + -1k = 14 Add '29' to each side of the equation. -29 + 29 + -1k = 14 + 29 Combine like terms: -29 + 29 = 0 0 + -1k = 14 + 29 -1k = 14 + 29 Combine like terms: 14 + 29 = 43 -1k = 43 Divide each side by '-1'. k = -43 Simplifying k = -43
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