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Simplifying 28 + 2n = 6(-2n + 7) Reorder the terms: 28 + 2n = 6(7 + -2n) 28 + 2n = (7 * 6 + -2n * 6) 28 + 2n = (42 + -12n) Solving 28 + 2n = 42 + -12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '12n' to each side of the equation. 28 + 2n + 12n = 42 + -12n + 12n Combine like terms: 2n + 12n = 14n 28 + 14n = 42 + -12n + 12n Combine like terms: -12n + 12n = 0 28 + 14n = 42 + 0 28 + 14n = 42 Add '-28' to each side of the equation. 28 + -28 + 14n = 42 + -28 Combine like terms: 28 + -28 = 0 0 + 14n = 42 + -28 14n = 42 + -28 Combine like terms: 42 + -28 = 14 14n = 14 Divide each side by '14'. n = 1 Simplifying n = 1
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