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Simplifying -247 = -8(1 + 5n) + 1 -247 = (1 * -8 + 5n * -8) + 1 -247 = (-8 + -40n) + 1 Reorder the terms: -247 = -8 + 1 + -40n Combine like terms: -8 + 1 = -7 -247 = -7 + -40n Solving -247 = -7 + -40n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '40n' to each side of the equation. -247 + 40n = -7 + -40n + 40n Combine like terms: -40n + 40n = 0 -247 + 40n = -7 + 0 -247 + 40n = -7 Add '247' to each side of the equation. -247 + 247 + 40n = -7 + 247 Combine like terms: -247 + 247 = 0 0 + 40n = -7 + 247 40n = -7 + 247 Combine like terms: -7 + 247 = 240 40n = 240 Divide each side by '40'. n = 6 Simplifying n = 6
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