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Simplifying 5n + -1(n + 3) = n + 2 + 7 Reorder the terms: 5n + -1(3 + n) = n + 2 + 7 5n + (3 * -1 + n * -1) = n + 2 + 7 5n + (-3 + -1n) = n + 2 + 7 Reorder the terms: -3 + 5n + -1n = n + 2 + 7 Combine like terms: 5n + -1n = 4n -3 + 4n = n + 2 + 7 Reorder the terms: -3 + 4n = 2 + 7 + n Combine like terms: 2 + 7 = 9 -3 + 4n = 9 + n Solving -3 + 4n = 9 + 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. -3 + 4n + -1n = 9 + n + -1n Combine like terms: 4n + -1n = 3n -3 + 3n = 9 + n + -1n Combine like terms: n + -1n = 0 -3 + 3n = 9 + 0 -3 + 3n = 9 Add '3' to each side of the equation. -3 + 3 + 3n = 9 + 3 Combine like terms: -3 + 3 = 0 0 + 3n = 9 + 3 3n = 9 + 3 Combine like terms: 9 + 3 = 12 3n = 12 Divide each side by '3'. n = 4 Simplifying n = 4
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