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Simplifying 5(2n + -8) + -4n = 7n + -39 Reorder the terms: 5(-8 + 2n) + -4n = 7n + -39 (-8 * 5 + 2n * 5) + -4n = 7n + -39 (-40 + 10n) + -4n = 7n + -39 Combine like terms: 10n + -4n = 6n -40 + 6n = 7n + -39 Reorder the terms: -40 + 6n = -39 + 7n Solving -40 + 6n = -39 + 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. -40 + 6n + -7n = -39 + 7n + -7n Combine like terms: 6n + -7n = -1n -40 + -1n = -39 + 7n + -7n Combine like terms: 7n + -7n = 0 -40 + -1n = -39 + 0 -40 + -1n = -39 Add '40' to each side of the equation. -40 + 40 + -1n = -39 + 40 Combine like terms: -40 + 40 = 0 0 + -1n = -39 + 40 -1n = -39 + 40 Combine like terms: -39 + 40 = 1 -1n = 1 Divide each side by '-1'. n = -1 Simplifying n = -1
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