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Simplifying 6n + -22 = 8(7 + 4n) Reorder the terms: -22 + 6n = 8(7 + 4n) -22 + 6n = (7 * 8 + 4n * 8) -22 + 6n = (56 + 32n) Solving -22 + 6n = 56 + 32n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-32n' to each side of the equation. -22 + 6n + -32n = 56 + 32n + -32n Combine like terms: 6n + -32n = -26n -22 + -26n = 56 + 32n + -32n Combine like terms: 32n + -32n = 0 -22 + -26n = 56 + 0 -22 + -26n = 56 Add '22' to each side of the equation. -22 + 22 + -26n = 56 + 22 Combine like terms: -22 + 22 = 0 0 + -26n = 56 + 22 -26n = 56 + 22 Combine like terms: 56 + 22 = 78 -26n = 78 Divide each side by '-26'. n = -3 Simplifying n = -3
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