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Simplifying -37 + -8n = 6n + 7(1 + 6n) -37 + -8n = 6n + (1 * 7 + 6n * 7) -37 + -8n = 6n + (7 + 42n) Reorder the terms: -37 + -8n = 7 + 6n + 42n Combine like terms: 6n + 42n = 48n -37 + -8n = 7 + 48n Solving -37 + -8n = 7 + 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 = 7 + 48n + -48n Combine like terms: -8n + -48n = -56n -37 + -56n = 7 + 48n + -48n Combine like terms: 48n + -48n = 0 -37 + -56n = 7 + 0 -37 + -56n = 7 Add '37' to each side of the equation. -37 + 37 + -56n = 7 + 37 Combine like terms: -37 + 37 = 0 0 + -56n = 7 + 37 -56n = 7 + 37 Combine like terms: 7 + 37 = 44 -56n = 44 Divide each side by '-56'. n = -0.7857142857 Simplifying n = -0.7857142857
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