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Simplifying -12 + -1n = 4(n + -8) Reorder the terms: -12 + -1n = 4(-8 + n) -12 + -1n = (-8 * 4 + n * 4) -12 + -1n = (-32 + 4n) Solving -12 + -1n = -32 + 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. -12 + -1n + -4n = -32 + 4n + -4n Combine like terms: -1n + -4n = -5n -12 + -5n = -32 + 4n + -4n Combine like terms: 4n + -4n = 0 -12 + -5n = -32 + 0 -12 + -5n = -32 Add '12' to each side of the equation. -12 + 12 + -5n = -32 + 12 Combine like terms: -12 + 12 = 0 0 + -5n = -32 + 12 -5n = -32 + 12 Combine like terms: -32 + 12 = -20 -5n = -20 Divide each side by '-5'. n = 4 Simplifying n = 4
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