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Simplifying -2n + -7(3n + -8) = -4n + -39 Reorder the terms: -2n + -7(-8 + 3n) = -4n + -39 -2n + (-8 * -7 + 3n * -7) = -4n + -39 -2n + (56 + -21n) = -4n + -39 Reorder the terms: 56 + -2n + -21n = -4n + -39 Combine like terms: -2n + -21n = -23n 56 + -23n = -4n + -39 Reorder the terms: 56 + -23n = -39 + -4n Solving 56 + -23n = -39 + -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. 56 + -23n + 4n = -39 + -4n + 4n Combine like terms: -23n + 4n = -19n 56 + -19n = -39 + -4n + 4n Combine like terms: -4n + 4n = 0 56 + -19n = -39 + 0 56 + -19n = -39 Add '-56' to each side of the equation. 56 + -56 + -19n = -39 + -56 Combine like terms: 56 + -56 = 0 0 + -19n = -39 + -56 -19n = -39 + -56 Combine like terms: -39 + -56 = -95 -19n = -95 Divide each side by '-19'. n = 5 Simplifying n = 5
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