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Simplifying -4(5k + 5) = 37 + -1k Reorder the terms: -4(5 + 5k) = 37 + -1k (5 * -4 + 5k * -4) = 37 + -1k (-20 + -20k) = 37 + -1k Solving -20 + -20k = 37 + -1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add 'k' to each side of the equation. -20 + -20k + k = 37 + -1k + k Combine like terms: -20k + k = -19k -20 + -19k = 37 + -1k + k Combine like terms: -1k + k = 0 -20 + -19k = 37 + 0 -20 + -19k = 37 Add '20' to each side of the equation. -20 + 20 + -19k = 37 + 20 Combine like terms: -20 + 20 = 0 0 + -19k = 37 + 20 -19k = 37 + 20 Combine like terms: 37 + 20 = 57 -19k = 57 Divide each side by '-19'. k = -3 Simplifying k = -3
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