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Simplifying 5(n + -9) + 4(n + 8) = 88 Reorder the terms: 5(-9 + n) + 4(n + 8) = 88 (-9 * 5 + n * 5) + 4(n + 8) = 88 (-45 + 5n) + 4(n + 8) = 88 Reorder the terms: -45 + 5n + 4(8 + n) = 88 -45 + 5n + (8 * 4 + n * 4) = 88 -45 + 5n + (32 + 4n) = 88 Reorder the terms: -45 + 32 + 5n + 4n = 88 Combine like terms: -45 + 32 = -13 -13 + 5n + 4n = 88 Combine like terms: 5n + 4n = 9n -13 + 9n = 88 Solving -13 + 9n = 88 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 9n = 88 + 13 Combine like terms: -13 + 13 = 0 0 + 9n = 88 + 13 9n = 88 + 13 Combine like terms: 88 + 13 = 101 9n = 101 Divide each side by '9'. n = 11.22222222 Simplifying n = 11.22222222
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