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Simplifying -9 + 3n = -1 + -5(8n + -7) Reorder the terms: -9 + 3n = -1 + -5(-7 + 8n) -9 + 3n = -1 + (-7 * -5 + 8n * -5) -9 + 3n = -1 + (35 + -40n) Combine like terms: -1 + 35 = 34 -9 + 3n = 34 + -40n Solving -9 + 3n = 34 + -40n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '40n' to each side of the equation. -9 + 3n + 40n = 34 + -40n + 40n Combine like terms: 3n + 40n = 43n -9 + 43n = 34 + -40n + 40n Combine like terms: -40n + 40n = 0 -9 + 43n = 34 + 0 -9 + 43n = 34 Add '9' to each side of the equation. -9 + 9 + 43n = 34 + 9 Combine like terms: -9 + 9 = 0 0 + 43n = 34 + 9 43n = 34 + 9 Combine like terms: 34 + 9 = 43 43n = 43 Divide each side by '43'. n = 1 Simplifying n = 1
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