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Simplifying 5(n + 2) + -3 = 7(5 + 3n) Reorder the terms: 5(2 + n) + -3 = 7(5 + 3n) (2 * 5 + n * 5) + -3 = 7(5 + 3n) (10 + 5n) + -3 = 7(5 + 3n) Reorder the terms: 10 + -3 + 5n = 7(5 + 3n) Combine like terms: 10 + -3 = 7 7 + 5n = 7(5 + 3n) 7 + 5n = (5 * 7 + 3n * 7) 7 + 5n = (35 + 21n) Solving 7 + 5n = 35 + 21n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-21n' to each side of the equation. 7 + 5n + -21n = 35 + 21n + -21n Combine like terms: 5n + -21n = -16n 7 + -16n = 35 + 21n + -21n Combine like terms: 21n + -21n = 0 7 + -16n = 35 + 0 7 + -16n = 35 Add '-7' to each side of the equation. 7 + -7 + -16n = 35 + -7 Combine like terms: 7 + -7 = 0 0 + -16n = 35 + -7 -16n = 35 + -7 Combine like terms: 35 + -7 = 28 -16n = 28 Divide each side by '-16'. n = -1.75 Simplifying n = -1.75
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