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Simplifying -20 + 2(7n + 1) = 16n + -4n + 20 Reorder the terms: -20 + 2(1 + 7n) = 16n + -4n + 20 -20 + (1 * 2 + 7n * 2) = 16n + -4n + 20 -20 + (2 + 14n) = 16n + -4n + 20 Combine like terms: -20 + 2 = -18 -18 + 14n = 16n + -4n + 20 Reorder the terms: -18 + 14n = 20 + 16n + -4n Combine like terms: 16n + -4n = 12n -18 + 14n = 20 + 12n Solving -18 + 14n = 20 + 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. -18 + 14n + -12n = 20 + 12n + -12n Combine like terms: 14n + -12n = 2n -18 + 2n = 20 + 12n + -12n Combine like terms: 12n + -12n = 0 -18 + 2n = 20 + 0 -18 + 2n = 20 Add '18' to each side of the equation. -18 + 18 + 2n = 20 + 18 Combine like terms: -18 + 18 = 0 0 + 2n = 20 + 18 2n = 20 + 18 Combine like terms: 20 + 18 = 38 2n = 38 Divide each side by '2'. n = 19 Simplifying n = 19
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