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Simplifying 8 + -7(k + 7) = -90 Reorder the terms: 8 + -7(7 + k) = -90 8 + (7 * -7 + k * -7) = -90 8 + (-49 + -7k) = -90 Combine like terms: 8 + -49 = -41 -41 + -7k = -90 Solving -41 + -7k = -90 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '41' to each side of the equation. -41 + 41 + -7k = -90 + 41 Combine like terms: -41 + 41 = 0 0 + -7k = -90 + 41 -7k = -90 + 41 Combine like terms: -90 + 41 = -49 -7k = -49 Divide each side by '-7'. k = 7 Simplifying k = 7
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