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Simplifying -40 + 8n = -6(1 + -7n) -40 + 8n = (1 * -6 + -7n * -6) -40 + 8n = (-6 + 42n) Solving -40 + 8n = -6 + 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. -40 + 8n + -42n = -6 + 42n + -42n Combine like terms: 8n + -42n = -34n -40 + -34n = -6 + 42n + -42n Combine like terms: 42n + -42n = 0 -40 + -34n = -6 + 0 -40 + -34n = -6 Add '40' to each side of the equation. -40 + 40 + -34n = -6 + 40 Combine like terms: -40 + 40 = 0 0 + -34n = -6 + 40 -34n = -6 + 40 Combine like terms: -6 + 40 = 34 -34n = 34 Divide each side by '-34'. n = -1 Simplifying n = -1
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