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Simplifying -4(3n + 2) + -6(5 + -1n) = -32 Reorder the terms: -4(2 + 3n) + -6(5 + -1n) = -32 (2 * -4 + 3n * -4) + -6(5 + -1n) = -32 (-8 + -12n) + -6(5 + -1n) = -32 -8 + -12n + (5 * -6 + -1n * -6) = -32 -8 + -12n + (-30 + 6n) = -32 Reorder the terms: -8 + -30 + -12n + 6n = -32 Combine like terms: -8 + -30 = -38 -38 + -12n + 6n = -32 Combine like terms: -12n + 6n = -6n -38 + -6n = -32 Solving -38 + -6n = -32 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '38' to each side of the equation. -38 + 38 + -6n = -32 + 38 Combine like terms: -38 + 38 = 0 0 + -6n = -32 + 38 -6n = -32 + 38 Combine like terms: -32 + 38 = 6 -6n = 6 Divide each side by '-6'. n = -1 Simplifying n = -1
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