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Simplifying -32 + -1n = 2(2n + -6) Reorder the terms: -32 + -1n = 2(-6 + 2n) -32 + -1n = (-6 * 2 + 2n * 2) -32 + -1n = (-12 + 4n) Solving -32 + -1n = -12 + 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. -32 + -1n + -4n = -12 + 4n + -4n Combine like terms: -1n + -4n = -5n -32 + -5n = -12 + 4n + -4n Combine like terms: 4n + -4n = 0 -32 + -5n = -12 + 0 -32 + -5n = -12 Add '32' to each side of the equation. -32 + 32 + -5n = -12 + 32 Combine like terms: -32 + 32 = 0 0 + -5n = -12 + 32 -5n = -12 + 32 Combine like terms: -12 + 32 = 20 -5n = 20 Divide each side by '-5'. n = -4 Simplifying n = -4
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