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Simplifying 12 + -1n = -5(n + -8) Reorder the terms: 12 + -1n = -5(-8 + n) 12 + -1n = (-8 * -5 + n * -5) 12 + -1n = (40 + -5n) Solving 12 + -1n = 40 + -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. 12 + -1n + 5n = 40 + -5n + 5n Combine like terms: -1n + 5n = 4n 12 + 4n = 40 + -5n + 5n Combine like terms: -5n + 5n = 0 12 + 4n = 40 + 0 12 + 4n = 40 Add '-12' to each side of the equation. 12 + -12 + 4n = 40 + -12 Combine like terms: 12 + -12 = 0 0 + 4n = 40 + -12 4n = 40 + -12 Combine like terms: 40 + -12 = 28 4n = 28 Divide each side by '4'. n = 7 Simplifying n = 7
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