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Simplifying 1k + -42 = 3k + 28 Reorder the terms: -42 + 1k = 3k + 28 Reorder the terms: -42 + 1k = 28 + 3k Solving -42 + 1k = 28 + 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. -42 + 1k + -3k = 28 + 3k + -3k Combine like terms: 1k + -3k = -2k -42 + -2k = 28 + 3k + -3k Combine like terms: 3k + -3k = 0 -42 + -2k = 28 + 0 -42 + -2k = 28 Add '42' to each side of the equation. -42 + 42 + -2k = 28 + 42 Combine like terms: -42 + 42 = 0 0 + -2k = 28 + 42 -2k = 28 + 42 Combine like terms: 28 + 42 = 70 -2k = 70 Divide each side by '-2'. k = -35 Simplifying k = -35
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