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Simplifying -35 + -1k = 5(6k + 4) + 7 Reorder the terms: -35 + -1k = 5(4 + 6k) + 7 -35 + -1k = (4 * 5 + 6k * 5) + 7 -35 + -1k = (20 + 30k) + 7 Reorder the terms: -35 + -1k = 20 + 7 + 30k Combine like terms: 20 + 7 = 27 -35 + -1k = 27 + 30k Solving -35 + -1k = 27 + 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. -35 + -1k + -30k = 27 + 30k + -30k Combine like terms: -1k + -30k = -31k -35 + -31k = 27 + 30k + -30k Combine like terms: 30k + -30k = 0 -35 + -31k = 27 + 0 -35 + -31k = 27 Add '35' to each side of the equation. -35 + 35 + -31k = 27 + 35 Combine like terms: -35 + 35 = 0 0 + -31k = 27 + 35 -31k = 27 + 35 Combine like terms: 27 + 35 = 62 -31k = 62 Divide each side by '-31'. k = -2 Simplifying k = -2
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