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Simplifying 90 = 6(k + 8) Reorder the terms: 90 = 6(8 + k) 90 = (8 * 6 + k * 6) 90 = (48 + 6k) Solving 90 = 48 + 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 = 48 + 6k + -6k Combine like terms: 6k + -6k = 0 90 + -6k = 48 + 0 90 + -6k = 48 Add '-90' to each side of the equation. 90 + -90 + -6k = 48 + -90 Combine like terms: 90 + -90 = 0 0 + -6k = 48 + -90 -6k = 48 + -90 Combine like terms: 48 + -90 = -42 -6k = -42 Divide each side by '-6'. k = 7 Simplifying k = 7
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