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Simplifying -36 + 6n = -6(-8 + 6n) -36 + 6n = (-8 * -6 + 6n * -6) -36 + 6n = (48 + -36n) Solving -36 + 6n = 48 + -36n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '36n' to each side of the equation. -36 + 6n + 36n = 48 + -36n + 36n Combine like terms: 6n + 36n = 42n -36 + 42n = 48 + -36n + 36n Combine like terms: -36n + 36n = 0 -36 + 42n = 48 + 0 -36 + 42n = 48 Add '36' to each side of the equation. -36 + 36 + 42n = 48 + 36 Combine like terms: -36 + 36 = 0 0 + 42n = 48 + 36 42n = 48 + 36 Combine like terms: 48 + 36 = 84 42n = 84 Divide each side by '42'. n = 2 Simplifying n = 2
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