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Simplifying -37 + 4n = 7 + -1(8n + 7) Reorder the terms: -37 + 4n = 7 + -1(7 + 8n) -37 + 4n = 7 + (7 * -1 + 8n * -1) -37 + 4n = 7 + (-7 + -8n) Combine like terms: 7 + -7 = 0 -37 + 4n = 0 + -8n -37 + 4n = -8n Solving -37 + 4n = -8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '8n' to each side of the equation. -37 + 4n + 8n = -8n + 8n Combine like terms: 4n + 8n = 12n -37 + 12n = -8n + 8n Combine like terms: -8n + 8n = 0 -37 + 12n = 0 Add '37' to each side of the equation. -37 + 37 + 12n = 0 + 37 Combine like terms: -37 + 37 = 0 0 + 12n = 0 + 37 12n = 0 + 37 Combine like terms: 0 + 37 = 37 12n = 37 Divide each side by '12'. n = 3.083333333 Simplifying n = 3.083333333
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