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Simplifying -130 = 2 + 6(5k + 3) Reorder the terms: -130 = 2 + 6(3 + 5k) -130 = 2 + (3 * 6 + 5k * 6) -130 = 2 + (18 + 30k) Combine like terms: 2 + 18 = 20 -130 = 20 + 30k Solving -130 = 20 + 30k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-30k' to each side of the equation. -130 + -30k = 20 + 30k + -30k Combine like terms: 30k + -30k = 0 -130 + -30k = 20 + 0 -130 + -30k = 20 Add '130' to each side of the equation. -130 + 130 + -30k = 20 + 130 Combine like terms: -130 + 130 = 0 0 + -30k = 20 + 130 -30k = 20 + 130 Combine like terms: 20 + 130 = 150 -30k = 150 Divide each side by '-30'. k = -5 Simplifying k = -5
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