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Simplifying 8(5n + -8) + -1n = -4n + 22 Reorder the terms: 8(-8 + 5n) + -1n = -4n + 22 (-8 * 8 + 5n * 8) + -1n = -4n + 22 (-64 + 40n) + -1n = -4n + 22 Combine like terms: 40n + -1n = 39n -64 + 39n = -4n + 22 Reorder the terms: -64 + 39n = 22 + -4n Solving -64 + 39n = 22 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. -64 + 39n + 4n = 22 + -4n + 4n Combine like terms: 39n + 4n = 43n -64 + 43n = 22 + -4n + 4n Combine like terms: -4n + 4n = 0 -64 + 43n = 22 + 0 -64 + 43n = 22 Add '64' to each side of the equation. -64 + 64 + 43n = 22 + 64 Combine like terms: -64 + 64 = 0 0 + 43n = 22 + 64 43n = 22 + 64 Combine like terms: 22 + 64 = 86 43n = 86 Divide each side by '43'. n = 2 Simplifying n = 2
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