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Simplifying 2(n + 3) = 5n + -7 Reorder the terms: 2(3 + n) = 5n + -7 (3 * 2 + n * 2) = 5n + -7 (6 + 2n) = 5n + -7 Reorder the terms: 6 + 2n = -7 + 5n Solving 6 + 2n = -7 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 6 + 2n + -5n = -7 + 5n + -5n Combine like terms: 2n + -5n = -3n 6 + -3n = -7 + 5n + -5n Combine like terms: 5n + -5n = 0 6 + -3n = -7 + 0 6 + -3n = -7 Add '-6' to each side of the equation. 6 + -6 + -3n = -7 + -6 Combine like terms: 6 + -6 = 0 0 + -3n = -7 + -6 -3n = -7 + -6 Combine like terms: -7 + -6 = -13 -3n = -13 Divide each side by '-3'. n = 4.333333333 Simplifying n = 4.333333333
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