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Simplifying -1n + -8(6 + 4n) = -213 -1n + (6 * -8 + 4n * -8) = -213 -1n + (-48 + -32n) = -213 Reorder the terms: -48 + -1n + -32n = -213 Combine like terms: -1n + -32n = -33n -48 + -33n = -213 Solving -48 + -33n = -213 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 + -33n = -213 + 48 Combine like terms: -48 + 48 = 0 0 + -33n = -213 + 48 -33n = -213 + 48 Combine like terms: -213 + 48 = -165 -33n = -165 Divide each side by '-33'. n = 5 Simplifying n = 5
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