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Simplifying -6n + 22 = 8(5n + -3) Reorder the terms: 22 + -6n = 8(5n + -3) Reorder the terms: 22 + -6n = 8(-3 + 5n) 22 + -6n = (-3 * 8 + 5n * 8) 22 + -6n = (-24 + 40n) Solving 22 + -6n = -24 + 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. 22 + -6n + -40n = -24 + 40n + -40n Combine like terms: -6n + -40n = -46n 22 + -46n = -24 + 40n + -40n Combine like terms: 40n + -40n = 0 22 + -46n = -24 + 0 22 + -46n = -24 Add '-22' to each side of the equation. 22 + -22 + -46n = -24 + -22 Combine like terms: 22 + -22 = 0 0 + -46n = -24 + -22 -46n = -24 + -22 Combine like terms: -24 + -22 = -46 -46n = -46 Divide each side by '-46'. n = 1 Simplifying n = 1
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