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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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