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Simplifying 5(n + -2) + 3 = 3n + -5 Reorder the terms: 5(-2 + n) + 3 = 3n + -5 (-2 * 5 + n * 5) + 3 = 3n + -5 (-10 + 5n) + 3 = 3n + -5 Reorder the terms: -10 + 3 + 5n = 3n + -5 Combine like terms: -10 + 3 = -7 -7 + 5n = 3n + -5 Reorder the terms: -7 + 5n = -5 + 3n Solving -7 + 5n = -5 + 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. -7 + 5n + -3n = -5 + 3n + -3n Combine like terms: 5n + -3n = 2n -7 + 2n = -5 + 3n + -3n Combine like terms: 3n + -3n = 0 -7 + 2n = -5 + 0 -7 + 2n = -5 Add '7' to each side of the equation. -7 + 7 + 2n = -5 + 7 Combine like terms: -7 + 7 = 0 0 + 2n = -5 + 7 2n = -5 + 7 Combine like terms: -5 + 7 = 2 2n = 2 Divide each side by '2'. n = 1 Simplifying n = 1
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