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Simplifying 5(3n + -2) + 6(n + 7) = 95 Reorder the terms: 5(-2 + 3n) + 6(n + 7) = 95 (-2 * 5 + 3n * 5) + 6(n + 7) = 95 (-10 + 15n) + 6(n + 7) = 95 Reorder the terms: -10 + 15n + 6(7 + n) = 95 -10 + 15n + (7 * 6 + n * 6) = 95 -10 + 15n + (42 + 6n) = 95 Reorder the terms: -10 + 42 + 15n + 6n = 95 Combine like terms: -10 + 42 = 32 32 + 15n + 6n = 95 Combine like terms: 15n + 6n = 21n 32 + 21n = 95 Solving 32 + 21n = 95 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + 21n = 95 + -32 Combine like terms: 32 + -32 = 0 0 + 21n = 95 + -32 21n = 95 + -32 Combine like terms: 95 + -32 = 63 21n = 63 Divide each side by '21'. n = 3 Simplifying n = 3
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