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Simplifying 30 + -6n = -7(6 + 6n) 30 + -6n = (6 * -7 + 6n * -7) 30 + -6n = (-42 + -42n) Solving 30 + -6n = -42 + -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. 30 + -6n + 42n = -42 + -42n + 42n Combine like terms: -6n + 42n = 36n 30 + 36n = -42 + -42n + 42n Combine like terms: -42n + 42n = 0 30 + 36n = -42 + 0 30 + 36n = -42 Add '-30' to each side of the equation. 30 + -30 + 36n = -42 + -30 Combine like terms: 30 + -30 = 0 0 + 36n = -42 + -30 36n = -42 + -30 Combine like terms: -42 + -30 = -72 36n = -72 Divide each side by '36'. n = -2 Simplifying n = -2
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