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Simplifying -135 = 7n + -6(7n + 5) Reorder the terms: -135 = 7n + -6(5 + 7n) -135 = 7n + (5 * -6 + 7n * -6) -135 = 7n + (-30 + -42n) Reorder the terms: -135 = -30 + 7n + -42n Combine like terms: 7n + -42n = -35n -135 = -30 + -35n Solving -135 = -30 + -35n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '35n' to each side of the equation. -135 + 35n = -30 + -35n + 35n Combine like terms: -35n + 35n = 0 -135 + 35n = -30 + 0 -135 + 35n = -30 Add '135' to each side of the equation. -135 + 135 + 35n = -30 + 135 Combine like terms: -135 + 135 = 0 0 + 35n = -30 + 135 35n = -30 + 135 Combine like terms: -30 + 135 = 105 35n = 105 Divide each side by '35'. n = 3 Simplifying n = 3
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