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Simplifying -5(6k + 7) = k + -4 Reorder the terms: -5(7 + 6k) = k + -4 (7 * -5 + 6k * -5) = k + -4 (-35 + -30k) = k + -4 Reorder the terms: -35 + -30k = -4 + k Solving -35 + -30k = -4 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. -35 + -30k + -1k = -4 + k + -1k Combine like terms: -30k + -1k = -31k -35 + -31k = -4 + k + -1k Combine like terms: k + -1k = 0 -35 + -31k = -4 + 0 -35 + -31k = -4 Add '35' to each side of the equation. -35 + 35 + -31k = -4 + 35 Combine like terms: -35 + 35 = 0 0 + -31k = -4 + 35 -31k = -4 + 35 Combine like terms: -4 + 35 = 31 -31k = 31 Divide each side by '-31'. k = -1 Simplifying k = -1
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