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Simplifying 9(n + -5) + -8(n + 4) = 19(2) Reorder the terms: 9(-5 + n) + -8(n + 4) = 19(2) (-5 * 9 + n * 9) + -8(n + 4) = 19(2) (-45 + 9n) + -8(n + 4) = 19(2) Reorder the terms: -45 + 9n + -8(4 + n) = 19(2) -45 + 9n + (4 * -8 + n * -8) = 19(2) -45 + 9n + (-32 + -8n) = 19(2) Reorder the terms: -45 + -32 + 9n + -8n = 19(2) Combine like terms: -45 + -32 = -77 -77 + 9n + -8n = 19(2) Combine like terms: 9n + -8n = 1n -77 + 1n = 19(2) Multiply 19 * 2 -77 + 1n = 38 Solving -77 + 1n = 38 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '77' to each side of the equation. -77 + 77 + 1n = 38 + 77 Combine like terms: -77 + 77 = 0 0 + 1n = 38 + 77 1n = 38 + 77 Combine like terms: 38 + 77 = 115 1n = 115 Divide each side by '1'. n = 115 Simplifying n = 115
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