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Simplifying 30 + 3k = -9(5k + 6) Reorder the terms: 30 + 3k = -9(6 + 5k) 30 + 3k = (6 * -9 + 5k * -9) 30 + 3k = (-54 + -45k) Solving 30 + 3k = -54 + -45k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '45k' to each side of the equation. 30 + 3k + 45k = -54 + -45k + 45k Combine like terms: 3k + 45k = 48k 30 + 48k = -54 + -45k + 45k Combine like terms: -45k + 45k = 0 30 + 48k = -54 + 0 30 + 48k = -54 Add '-30' to each side of the equation. 30 + -30 + 48k = -54 + -30 Combine like terms: 30 + -30 = 0 0 + 48k = -54 + -30 48k = -54 + -30 Combine like terms: -54 + -30 = -84 48k = -84 Divide each side by '48'. k = -1.75 Simplifying k = -1.75
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