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Simplifying 90 = 6(7n + -6) Reorder the terms: 90 = 6(-6 + 7n) 90 = (-6 * 6 + 7n * 6) 90 = (-36 + 42n) Solving 90 = -36 + 42n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-42n' to each side of the equation. 90 + -42n = -36 + 42n + -42n Combine like terms: 42n + -42n = 0 90 + -42n = -36 + 0 90 + -42n = -36 Add '-90' to each side of the equation. 90 + -90 + -42n = -36 + -90 Combine like terms: 90 + -90 = 0 0 + -42n = -36 + -90 -42n = -36 + -90 Combine like terms: -36 + -90 = -126 -42n = -126 Divide each side by '-42'. n = 3 Simplifying n = 3
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