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Simplifying -3k + 10 = 2k + -21 Reorder the terms: 10 + -3k = 2k + -21 Reorder the terms: 10 + -3k = -21 + 2k Solving 10 + -3k = -21 + 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. 10 + -3k + -2k = -21 + 2k + -2k Combine like terms: -3k + -2k = -5k 10 + -5k = -21 + 2k + -2k Combine like terms: 2k + -2k = 0 10 + -5k = -21 + 0 10 + -5k = -21 Add '-10' to each side of the equation. 10 + -10 + -5k = -21 + -10 Combine like terms: 10 + -10 = 0 0 + -5k = -21 + -10 -5k = -21 + -10 Combine like terms: -21 + -10 = -31 -5k = -31 Divide each side by '-5'. k = 6.2 Simplifying k = 6.2
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