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Simplifying 22 + 5n = 8(4n + -4) Reorder the terms: 22 + 5n = 8(-4 + 4n) 22 + 5n = (-4 * 8 + 4n * 8) 22 + 5n = (-32 + 32n) Solving 22 + 5n = -32 + 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 + 5n + -32n = -32 + 32n + -32n Combine like terms: 5n + -32n = -27n 22 + -27n = -32 + 32n + -32n Combine like terms: 32n + -32n = 0 22 + -27n = -32 + 0 22 + -27n = -32 Add '-22' to each side of the equation. 22 + -22 + -27n = -32 + -22 Combine like terms: 22 + -22 = 0 0 + -27n = -32 + -22 -27n = -32 + -22 Combine like terms: -32 + -22 = -54 -27n = -54 Divide each side by '-27'. n = 2 Simplifying n = 2
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