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Simplifying 37 + -8n = 5 + -8(1 + 6n) 37 + -8n = 5 + (1 * -8 + 6n * -8) 37 + -8n = 5 + (-8 + -48n) Combine like terms: 5 + -8 = -3 37 + -8n = -3 + -48n Solving 37 + -8n = -3 + -48n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '48n' to each side of the equation. 37 + -8n + 48n = -3 + -48n + 48n Combine like terms: -8n + 48n = 40n 37 + 40n = -3 + -48n + 48n Combine like terms: -48n + 48n = 0 37 + 40n = -3 + 0 37 + 40n = -3 Add '-37' to each side of the equation. 37 + -37 + 40n = -3 + -37 Combine like terms: 37 + -37 = 0 0 + 40n = -3 + -37 40n = -3 + -37 Combine like terms: -3 + -37 = -40 40n = -40 Divide each side by '40'. n = -1 Simplifying n = -1
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