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Simplifying -36 + -7n = -6(7n + -6) + -2 Reorder the terms: -36 + -7n = -6(-6 + 7n) + -2 -36 + -7n = (-6 * -6 + 7n * -6) + -2 -36 + -7n = (36 + -42n) + -2 Reorder the terms: -36 + -7n = 36 + -2 + -42n Combine like terms: 36 + -2 = 34 -36 + -7n = 34 + -42n Solving -36 + -7n = 34 + -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. -36 + -7n + 42n = 34 + -42n + 42n Combine like terms: -7n + 42n = 35n -36 + 35n = 34 + -42n + 42n Combine like terms: -42n + 42n = 0 -36 + 35n = 34 + 0 -36 + 35n = 34 Add '36' to each side of the equation. -36 + 36 + 35n = 34 + 36 Combine like terms: -36 + 36 = 0 0 + 35n = 34 + 36 35n = 34 + 36 Combine like terms: 34 + 36 = 70 35n = 70 Divide each side by '35'. n = 2 Simplifying n = 2
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