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Simplifying 8(4n + -6) = 112 Reorder the terms: 8(-6 + 4n) = 112 (-6 * 8 + 4n * 8) = 112 (-48 + 32n) = 112 Solving -48 + 32n = 112 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 48 + 32n = 112 + 48 Combine like terms: -48 + 48 = 0 0 + 32n = 112 + 48 32n = 112 + 48 Combine like terms: 112 + 48 = 160 32n = 160 Divide each side by '32'. n = 5 Simplifying n = 5
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