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Simplifying 2(7 + 3n) = 6 + 7(-4 + 6n) (7 * 2 + 3n * 2) = 6 + 7(-4 + 6n) (14 + 6n) = 6 + 7(-4 + 6n) 14 + 6n = 6 + (-4 * 7 + 6n * 7) 14 + 6n = 6 + (-28 + 42n) Combine like terms: 6 + -28 = -22 14 + 6n = -22 + 42n Solving 14 + 6n = -22 + 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. 14 + 6n + -42n = -22 + 42n + -42n Combine like terms: 6n + -42n = -36n 14 + -36n = -22 + 42n + -42n Combine like terms: 42n + -42n = 0 14 + -36n = -22 + 0 14 + -36n = -22 Add '-14' to each side of the equation. 14 + -14 + -36n = -22 + -14 Combine like terms: 14 + -14 = 0 0 + -36n = -22 + -14 -36n = -22 + -14 Combine like terms: -22 + -14 = -36 -36n = -36 Divide each side by '-36'. n = 1 Simplifying n = 1
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