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Simplifying 5(n + -2) + 3 = 2(2n + 5) Reorder the terms: 5(-2 + n) + 3 = 2(2n + 5) (-2 * 5 + n * 5) + 3 = 2(2n + 5) (-10 + 5n) + 3 = 2(2n + 5) Reorder the terms: -10 + 3 + 5n = 2(2n + 5) Combine like terms: -10 + 3 = -7 -7 + 5n = 2(2n + 5) Reorder the terms: -7 + 5n = 2(5 + 2n) -7 + 5n = (5 * 2 + 2n * 2) -7 + 5n = (10 + 4n) Solving -7 + 5n = 10 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. -7 + 5n + -4n = 10 + 4n + -4n Combine like terms: 5n + -4n = 1n -7 + 1n = 10 + 4n + -4n Combine like terms: 4n + -4n = 0 -7 + 1n = 10 + 0 -7 + 1n = 10 Add '7' to each side of the equation. -7 + 7 + 1n = 10 + 7 Combine like terms: -7 + 7 = 0 0 + 1n = 10 + 7 1n = 10 + 7 Combine like terms: 10 + 7 = 17 1n = 17 Divide each side by '1'. n = 17 Simplifying n = 17
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