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Simplifying 8(5n + -1) + -2n = 30 Reorder the terms: 8(-1 + 5n) + -2n = 30 (-1 * 8 + 5n * 8) + -2n = 30 (-8 + 40n) + -2n = 30 Combine like terms: 40n + -2n = 38n -8 + 38n = 30 Solving -8 + 38n = 30 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 38n = 30 + 8 Combine like terms: -8 + 8 = 0 0 + 38n = 30 + 8 38n = 30 + 8 Combine like terms: 30 + 8 = 38 38n = 38 Divide each side by '38'. n = 1 Simplifying n = 1
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