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Simplifying 3k + -10 = 5k + -20 Reorder the terms: -10 + 3k = 5k + -20 Reorder the terms: -10 + 3k = -20 + 5k Solving -10 + 3k = -20 + 5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5k' to each side of the equation. -10 + 3k + -5k = -20 + 5k + -5k Combine like terms: 3k + -5k = -2k -10 + -2k = -20 + 5k + -5k Combine like terms: 5k + -5k = 0 -10 + -2k = -20 + 0 -10 + -2k = -20 Add '10' to each side of the equation. -10 + 10 + -2k = -20 + 10 Combine like terms: -10 + 10 = 0 0 + -2k = -20 + 10 -2k = -20 + 10 Combine like terms: -20 + 10 = -10 -2k = -10 Divide each side by '-2'. k = 5 Simplifying k = 5
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