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Simplifying -31 + 7n = 8(5n + 2) Reorder the terms: -31 + 7n = 8(2 + 5n) -31 + 7n = (2 * 8 + 5n * 8) -31 + 7n = (16 + 40n) Solving -31 + 7n = 16 + 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. -31 + 7n + -40n = 16 + 40n + -40n Combine like terms: 7n + -40n = -33n -31 + -33n = 16 + 40n + -40n Combine like terms: 40n + -40n = 0 -31 + -33n = 16 + 0 -31 + -33n = 16 Add '31' to each side of the equation. -31 + 31 + -33n = 16 + 31 Combine like terms: -31 + 31 = 0 0 + -33n = 16 + 31 -33n = 16 + 31 Combine like terms: 16 + 31 = 47 -33n = 47 Divide each side by '-33'. n = -1.424242424 Simplifying n = -1.424242424
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