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Simplifying 7 + -2(n + -3) = 3(n + 5) Reorder the terms: 7 + -2(-3 + n) = 3(n + 5) 7 + (-3 * -2 + n * -2) = 3(n + 5) 7 + (6 + -2n) = 3(n + 5) Combine like terms: 7 + 6 = 13 13 + -2n = 3(n + 5) Reorder the terms: 13 + -2n = 3(5 + n) 13 + -2n = (5 * 3 + n * 3) 13 + -2n = (15 + 3n) Solving 13 + -2n = 15 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 13 + -2n + -3n = 15 + 3n + -3n Combine like terms: -2n + -3n = -5n 13 + -5n = 15 + 3n + -3n Combine like terms: 3n + -3n = 0 13 + -5n = 15 + 0 13 + -5n = 15 Add '-13' to each side of the equation. 13 + -13 + -5n = 15 + -13 Combine like terms: 13 + -13 = 0 0 + -5n = 15 + -13 -5n = 15 + -13 Combine like terms: 15 + -13 = 2 -5n = 2 Divide each side by '-5'. n = -0.4 Simplifying n = -0.4
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