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Simplifying -7 + -3(n + -5) = -7n + -40 Reorder the terms: -7 + -3(-5 + n) = -7n + -40 -7 + (-5 * -3 + n * -3) = -7n + -40 -7 + (15 + -3n) = -7n + -40 Combine like terms: -7 + 15 = 8 8 + -3n = -7n + -40 Reorder the terms: 8 + -3n = -40 + -7n Solving 8 + -3n = -40 + -7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7n' to each side of the equation. 8 + -3n + 7n = -40 + -7n + 7n Combine like terms: -3n + 7n = 4n 8 + 4n = -40 + -7n + 7n Combine like terms: -7n + 7n = 0 8 + 4n = -40 + 0 8 + 4n = -40 Add '-8' to each side of the equation. 8 + -8 + 4n = -40 + -8 Combine like terms: 8 + -8 = 0 0 + 4n = -40 + -8 4n = -40 + -8 Combine like terms: -40 + -8 = -48 4n = -48 Divide each side by '4'. n = -12 Simplifying n = -12
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