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Simplifying 3 + 8k = 7(3k + -7) Reorder the terms: 3 + 8k = 7(-7 + 3k) 3 + 8k = (-7 * 7 + 3k * 7) 3 + 8k = (-49 + 21k) Solving 3 + 8k = -49 + 21k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-21k' to each side of the equation. 3 + 8k + -21k = -49 + 21k + -21k Combine like terms: 8k + -21k = -13k 3 + -13k = -49 + 21k + -21k Combine like terms: 21k + -21k = 0 3 + -13k = -49 + 0 3 + -13k = -49 Add '-3' to each side of the equation. 3 + -3 + -13k = -49 + -3 Combine like terms: 3 + -3 = 0 0 + -13k = -49 + -3 -13k = -49 + -3 Combine like terms: -49 + -3 = -52 -13k = -52 Divide each side by '-13'. k = 4 Simplifying k = 4
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