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Simplifying 90 = -6(k + -7) Reorder the terms: 90 = -6(-7 + k) 90 = (-7 * -6 + k * -6) 90 = (42 + -6k) Solving 90 = 42 + -6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '6k' to each side of the equation. 90 + 6k = 42 + -6k + 6k Combine like terms: -6k + 6k = 0 90 + 6k = 42 + 0 90 + 6k = 42 Add '-90' to each side of the equation. 90 + -90 + 6k = 42 + -90 Combine like terms: 90 + -90 = 0 0 + 6k = 42 + -90 6k = 42 + -90 Combine like terms: 42 + -90 = -48 6k = -48 Divide each side by '6'. k = -8 Simplifying k = -8
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