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Simplifying -5(n + 3) + -1(7 + 8n) = 0 Reorder the terms: -5(3 + n) + -1(7 + 8n) = 0 (3 * -5 + n * -5) + -1(7 + 8n) = 0 (-15 + -5n) + -1(7 + 8n) = 0 -15 + -5n + (7 * -1 + 8n * -1) = 0 -15 + -5n + (-7 + -8n) = 0 Reorder the terms: -15 + -7 + -5n + -8n = 0 Combine like terms: -15 + -7 = -22 -22 + -5n + -8n = 0 Combine like terms: -5n + -8n = -13n -22 + -13n = 0 Solving -22 + -13n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + -13n = 0 + 22 Combine like terms: -22 + 22 = 0 0 + -13n = 0 + 22 -13n = 0 + 22 Combine like terms: 0 + 22 = 22 -13n = 22 Divide each side by '-13'. n = -1.692307692 Simplifying n = -1.692307692
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