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Simplifying -32 + 2n = 2(-1n + -4) Reorder the terms: -32 + 2n = 2(-4 + -1n) -32 + 2n = (-4 * 2 + -1n * 2) -32 + 2n = (-8 + -2n) Solving -32 + 2n = -8 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. -32 + 2n + 2n = -8 + -2n + 2n Combine like terms: 2n + 2n = 4n -32 + 4n = -8 + -2n + 2n Combine like terms: -2n + 2n = 0 -32 + 4n = -8 + 0 -32 + 4n = -8 Add '32' to each side of the equation. -32 + 32 + 4n = -8 + 32 Combine like terms: -32 + 32 = 0 0 + 4n = -8 + 32 4n = -8 + 32 Combine like terms: -8 + 32 = 24 4n = 24 Divide each side by '4'. n = 6 Simplifying n = 6
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