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Simplifying 37 = -5(1 + -8n) + 2n 37 = (1 * -5 + -8n * -5) + 2n 37 = (-5 + 40n) + 2n Combine like terms: 40n + 2n = 42n 37 = -5 + 42n Solving 37 = -5 + 42n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-42n' to each side of the equation. 37 + -42n = -5 + 42n + -42n Combine like terms: 42n + -42n = 0 37 + -42n = -5 + 0 37 + -42n = -5 Add '-37' to each side of the equation. 37 + -37 + -42n = -5 + -37 Combine like terms: 37 + -37 = 0 0 + -42n = -5 + -37 -42n = -5 + -37 Combine like terms: -5 + -37 = -42 -42n = -42 Divide each side by '-42'. n = 1 Simplifying n = 1
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