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Simplifying 30 + 3k = -2(5k + 8) Reorder the terms: 30 + 3k = -2(8 + 5k) 30 + 3k = (8 * -2 + 5k * -2) 30 + 3k = (-16 + -10k) Solving 30 + 3k = -16 + -10k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '10k' to each side of the equation. 30 + 3k + 10k = -16 + -10k + 10k Combine like terms: 3k + 10k = 13k 30 + 13k = -16 + -10k + 10k Combine like terms: -10k + 10k = 0 30 + 13k = -16 + 0 30 + 13k = -16 Add '-30' to each side of the equation. 30 + -30 + 13k = -16 + -30 Combine like terms: 30 + -30 = 0 0 + 13k = -16 + -30 13k = -16 + -30 Combine like terms: -16 + -30 = -46 13k = -46 Divide each side by '13'. k = -3.538461538 Simplifying k = -3.538461538
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