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Simplifying -30 = 42 + k Solving -30 = 42 + 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. -30 + -1k = 42 + k + -1k Combine like terms: k + -1k = 0 -30 + -1k = 42 + 0 -30 + -1k = 42 Add '30' to each side of the equation. -30 + 30 + -1k = 42 + 30 Combine like terms: -30 + 30 = 0 0 + -1k = 42 + 30 -1k = 42 + 30 Combine like terms: 42 + 30 = 72 -1k = 72 Divide each side by '-1'. k = -72 Simplifying k = -72
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