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Simplifying 7 + -1(2n + -5) = 8 + -3n Reorder the terms: 7 + -1(-5 + 2n) = 8 + -3n 7 + (-5 * -1 + 2n * -1) = 8 + -3n 7 + (5 + -2n) = 8 + -3n Combine like terms: 7 + 5 = 12 12 + -2n = 8 + -3n Solving 12 + -2n = 8 + -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3n' to each side of the equation. 12 + -2n + 3n = 8 + -3n + 3n Combine like terms: -2n + 3n = 1n 12 + 1n = 8 + -3n + 3n Combine like terms: -3n + 3n = 0 12 + 1n = 8 + 0 12 + 1n = 8 Add '-12' to each side of the equation. 12 + -12 + 1n = 8 + -12 Combine like terms: 12 + -12 = 0 0 + 1n = 8 + -12 1n = 8 + -12 Combine like terms: 8 + -12 = -4 1n = -4 Divide each side by '1'. n = -4 Simplifying n = -4
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