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Simplifying k + -30 = 3k + 20 Reorder the terms: -30 + k = 3k + 20 Reorder the terms: -30 + k = 20 + 3k Solving -30 + k = 20 + 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. -30 + k + -3k = 20 + 3k + -3k Combine like terms: k + -3k = -2k -30 + -2k = 20 + 3k + -3k Combine like terms: 3k + -3k = 0 -30 + -2k = 20 + 0 -30 + -2k = 20 Add '30' to each side of the equation. -30 + 30 + -2k = 20 + 30 Combine like terms: -30 + 30 = 0 0 + -2k = 20 + 30 -2k = 20 + 30 Combine like terms: 20 + 30 = 50 -2k = 50 Divide each side by '-2'. k = -25 Simplifying k = -25
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