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Simplifying -4(2x + -6) + -1(-1n) = -9 Reorder the terms: -4(-6 + 2x) + -1(-1n) = -9 (-6 * -4 + 2x * -4) + -1(-1n) = -9 (24 + -8x) + -1(-1n) = -9 Remove parenthesis around (-1n) 24 + -8x + -1 * -1n = -9 Multiply -1 * -1 24 + -8x + 1n = -9 Reorder the terms: 24 + 1n + -8x = -9 Solving 24 + 1n + -8x = -9 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + 1n + -24 + -8x = -9 + -24 Reorder the terms: 24 + -24 + 1n + -8x = -9 + -24 Combine like terms: 24 + -24 = 0 0 + 1n + -8x = -9 + -24 1n + -8x = -9 + -24 Combine like terms: -9 + -24 = -33 1n + -8x = -33 Add '8x' to each side of the equation. 1n + -8x + 8x = -33 + 8x Combine like terms: -8x + 8x = 0 1n + 0 = -33 + 8x 1n = -33 + 8x Divide each side by '1'. n = -33 + 8x Simplifying n = -33 + 8x
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