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Simplifying -90 = -6(k + 1) Reorder the terms: -90 = -6(1 + k) -90 = (1 * -6 + k * -6) -90 = (-6 + -6k) Solving -90 = -6 + -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 = -6 + -6k + 6k Combine like terms: -6k + 6k = 0 -90 + 6k = -6 + 0 -90 + 6k = -6 Add '90' to each side of the equation. -90 + 90 + 6k = -6 + 90 Combine like terms: -90 + 90 = 0 0 + 6k = -6 + 90 6k = -6 + 90 Combine like terms: -6 + 90 = 84 6k = 84 Divide each side by '6'. k = 14 Simplifying k = 14
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