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Simplifying -8k + 21 = 7(6k + 3) Reorder the terms: 21 + -8k = 7(6k + 3) Reorder the terms: 21 + -8k = 7(3 + 6k) 21 + -8k = (3 * 7 + 6k * 7) 21 + -8k = (21 + 42k) Add '-21' to each side of the equation. 21 + -21 + -8k = 21 + -21 + 42k Combine like terms: 21 + -21 = 0 0 + -8k = 21 + -21 + 42k -8k = 21 + -21 + 42k Combine like terms: 21 + -21 = 0 -8k = 0 + 42k -8k = 42k Solving -8k = 42k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-42k' to each side of the equation. -8k + -42k = 42k + -42k Combine like terms: -8k + -42k = -50k -50k = 42k + -42k Combine like terms: 42k + -42k = 0 -50k = 0 Divide each side by '-50'. k = 0.0 Simplifying k = 0.0
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