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Simplifying 5 + -1(n + 3) + 3n + 7 = n + 5 Reorder the terms: 5 + -1(3 + n) + 3n + 7 = n + 5 5 + (3 * -1 + n * -1) + 3n + 7 = n + 5 5 + (-3 + -1n) + 3n + 7 = n + 5 Reorder the terms: 5 + -3 + 7 + -1n + 3n = n + 5 Combine like terms: 5 + -3 = 2 2 + 7 + -1n + 3n = n + 5 Combine like terms: 2 + 7 = 9 9 + -1n + 3n = n + 5 Combine like terms: -1n + 3n = 2n 9 + 2n = n + 5 Reorder the terms: 9 + 2n = 5 + n Solving 9 + 2n = 5 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. 9 + 2n + -1n = 5 + n + -1n Combine like terms: 2n + -1n = 1n 9 + 1n = 5 + n + -1n Combine like terms: n + -1n = 0 9 + 1n = 5 + 0 9 + 1n = 5 Add '-9' to each side of the equation. 9 + -9 + 1n = 5 + -9 Combine like terms: 9 + -9 = 0 0 + 1n = 5 + -9 1n = 5 + -9 Combine like terms: 5 + -9 = -4 1n = -4 Divide each side by '1'. n = -4 Simplifying n = -4
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