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Simplifying -37 + 5n = 6 + 8(n + -5) Reorder the terms: -37 + 5n = 6 + 8(-5 + n) -37 + 5n = 6 + (-5 * 8 + n * 8) -37 + 5n = 6 + (-40 + 8n) Combine like terms: 6 + -40 = -34 -37 + 5n = -34 + 8n Solving -37 + 5n = -34 + 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 + 5n + -8n = -34 + 8n + -8n Combine like terms: 5n + -8n = -3n -37 + -3n = -34 + 8n + -8n Combine like terms: 8n + -8n = 0 -37 + -3n = -34 + 0 -37 + -3n = -34 Add '37' to each side of the equation. -37 + 37 + -3n = -34 + 37 Combine like terms: -37 + 37 = 0 0 + -3n = -34 + 37 -3n = -34 + 37 Combine like terms: -34 + 37 = 3 -3n = 3 Divide each side by '-3'. n = -1 Simplifying n = -1
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