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Simplifying 7 + -6(-5k + 7) = -185 Reorder the terms: 7 + -6(7 + -5k) = -185 7 + (7 * -6 + -5k * -6) = -185 7 + (-42 + 30k) = -185 Combine like terms: 7 + -42 = -35 -35 + 30k = -185 Solving -35 + 30k = -185 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + 30k = -185 + 35 Combine like terms: -35 + 35 = 0 0 + 30k = -185 + 35 30k = -185 + 35 Combine like terms: -185 + 35 = -150 30k = -150 Divide each side by '30'. k = -5 Simplifying k = -5
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