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Simplifying 5(n + 2) + -2(n + -3) = n + 22 Reorder the terms: 5(2 + n) + -2(n + -3) = n + 22 (2 * 5 + n * 5) + -2(n + -3) = n + 22 (10 + 5n) + -2(n + -3) = n + 22 Reorder the terms: 10 + 5n + -2(-3 + n) = n + 22 10 + 5n + (-3 * -2 + n * -2) = n + 22 10 + 5n + (6 + -2n) = n + 22 Reorder the terms: 10 + 6 + 5n + -2n = n + 22 Combine like terms: 10 + 6 = 16 16 + 5n + -2n = n + 22 Combine like terms: 5n + -2n = 3n 16 + 3n = n + 22 Reorder the terms: 16 + 3n = 22 + n Solving 16 + 3n = 22 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. 16 + 3n + -1n = 22 + n + -1n Combine like terms: 3n + -1n = 2n 16 + 2n = 22 + n + -1n Combine like terms: n + -1n = 0 16 + 2n = 22 + 0 16 + 2n = 22 Add '-16' to each side of the equation. 16 + -16 + 2n = 22 + -16 Combine like terms: 16 + -16 = 0 0 + 2n = 22 + -16 2n = 22 + -16 Combine like terms: 22 + -16 = 6 2n = 6 Divide each side by '2'. n = 3 Simplifying n = 3
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