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Simplifying 2n + 30 = 8(2n + 2) Reorder the terms: 30 + 2n = 8(2n + 2) Reorder the terms: 30 + 2n = 8(2 + 2n) 30 + 2n = (2 * 8 + 2n * 8) 30 + 2n = (16 + 16n) Solving 30 + 2n = 16 + 16n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-16n' to each side of the equation. 30 + 2n + -16n = 16 + 16n + -16n Combine like terms: 2n + -16n = -14n 30 + -14n = 16 + 16n + -16n Combine like terms: 16n + -16n = 0 30 + -14n = 16 + 0 30 + -14n = 16 Add '-30' to each side of the equation. 30 + -30 + -14n = 16 + -30 Combine like terms: 30 + -30 = 0 0 + -14n = 16 + -30 -14n = 16 + -30 Combine like terms: 16 + -30 = -14 -14n = -14 Divide each side by '-14'. n = 1 Simplifying n = 1
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