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Simplifying 5(7k + -3) = -25 + 4k Reorder the terms: 5(-3 + 7k) = -25 + 4k (-3 * 5 + 7k * 5) = -25 + 4k (-15 + 35k) = -25 + 4k Solving -15 + 35k = -25 + 4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4k' to each side of the equation. -15 + 35k + -4k = -25 + 4k + -4k Combine like terms: 35k + -4k = 31k -15 + 31k = -25 + 4k + -4k Combine like terms: 4k + -4k = 0 -15 + 31k = -25 + 0 -15 + 31k = -25 Add '15' to each side of the equation. -15 + 15 + 31k = -25 + 15 Combine like terms: -15 + 15 = 0 0 + 31k = -25 + 15 31k = -25 + 15 Combine like terms: -25 + 15 = -10 31k = -10 Divide each side by '31'. k = -0.3225806452 Simplifying k = -0.3225806452
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