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Simplifying k + -42 = 1 + -20 + -152 Reorder the terms: -42 + k = 1 + -20 + -152 Combine like terms: 1 + -20 = -19 -42 + k = -19 + -152 Combine like terms: -19 + -152 = -171 -42 + k = -171 Solving -42 + k = -171 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + k = -171 + 42 Combine like terms: -42 + 42 = 0 0 + k = -171 + 42 k = -171 + 42 Combine like terms: -171 + 42 = -129 k = -129 Simplifying k = -129
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