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Simplifying -2(n + 4) + -3(2n + -5) = 0 Reorder the terms: -2(4 + n) + -3(2n + -5) = 0 (4 * -2 + n * -2) + -3(2n + -5) = 0 (-8 + -2n) + -3(2n + -5) = 0 Reorder the terms: -8 + -2n + -3(-5 + 2n) = 0 -8 + -2n + (-5 * -3 + 2n * -3) = 0 -8 + -2n + (15 + -6n) = 0 Reorder the terms: -8 + 15 + -2n + -6n = 0 Combine like terms: -8 + 15 = 7 7 + -2n + -6n = 0 Combine like terms: -2n + -6n = -8n 7 + -8n = 0 Solving 7 + -8n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -8n = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -8n = 0 + -7 -8n = 0 + -7 Combine like terms: 0 + -7 = -7 -8n = -7 Divide each side by '-8'. n = 0.875 Simplifying n = 0.875
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