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Simplifying 5 + -7 = (2n + 1) Combine like terms: 5 + -7 = -2 -2 = (2n + 1) Reorder the terms: -2 = (1 + 2n) Remove parenthesis around (1 + 2n) -2 = 1 + 2n Solving -2 = 1 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. -2 + -2n = 1 + 2n + -2n Combine like terms: 2n + -2n = 0 -2 + -2n = 1 + 0 -2 + -2n = 1 Add '2' to each side of the equation. -2 + 2 + -2n = 1 + 2 Combine like terms: -2 + 2 = 0 0 + -2n = 1 + 2 -2n = 1 + 2 Combine like terms: 1 + 2 = 3 -2n = 3 Divide each side by '-2'. n = -1.5 Simplifying n = -1.5
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