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Simplifying -8n + -9(n + 5) = -8n + -12(-5 + 2n) Reorder the terms: -8n + -9(5 + n) = -8n + -12(-5 + 2n) -8n + (5 * -9 + n * -9) = -8n + -12(-5 + 2n) -8n + (-45 + -9n) = -8n + -12(-5 + 2n) Reorder the terms: -45 + -8n + -9n = -8n + -12(-5 + 2n) Combine like terms: -8n + -9n = -17n -45 + -17n = -8n + -12(-5 + 2n) -45 + -17n = -8n + (-5 * -12 + 2n * -12) -45 + -17n = -8n + (60 + -24n) Reorder the terms: -45 + -17n = 60 + -8n + -24n Combine like terms: -8n + -24n = -32n -45 + -17n = 60 + -32n Solving -45 + -17n = 60 + -32n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '32n' to each side of the equation. -45 + -17n + 32n = 60 + -32n + 32n Combine like terms: -17n + 32n = 15n -45 + 15n = 60 + -32n + 32n Combine like terms: -32n + 32n = 0 -45 + 15n = 60 + 0 -45 + 15n = 60 Add '45' to each side of the equation. -45 + 45 + 15n = 60 + 45 Combine like terms: -45 + 45 = 0 0 + 15n = 60 + 45 15n = 60 + 45 Combine like terms: 60 + 45 = 105 15n = 105 Divide each side by '15'. n = 7 Simplifying n = 7
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