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Simplifying 5(2n + -8) + -2 = 5(n + -3) + 3 Reorder the terms: 5(-8 + 2n) + -2 = 5(n + -3) + 3 (-8 * 5 + 2n * 5) + -2 = 5(n + -3) + 3 (-40 + 10n) + -2 = 5(n + -3) + 3 Reorder the terms: -40 + -2 + 10n = 5(n + -3) + 3 Combine like terms: -40 + -2 = -42 -42 + 10n = 5(n + -3) + 3 Reorder the terms: -42 + 10n = 5(-3 + n) + 3 -42 + 10n = (-3 * 5 + n * 5) + 3 -42 + 10n = (-15 + 5n) + 3 Reorder the terms: -42 + 10n = -15 + 3 + 5n Combine like terms: -15 + 3 = -12 -42 + 10n = -12 + 5n Solving -42 + 10n = -12 + 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. -42 + 10n + -5n = -12 + 5n + -5n Combine like terms: 10n + -5n = 5n -42 + 5n = -12 + 5n + -5n Combine like terms: 5n + -5n = 0 -42 + 5n = -12 + 0 -42 + 5n = -12 Add '42' to each side of the equation. -42 + 42 + 5n = -12 + 42 Combine like terms: -42 + 42 = 0 0 + 5n = -12 + 42 5n = -12 + 42 Combine like terms: -12 + 42 = 30 5n = 30 Divide each side by '5'. n = 6 Simplifying n = 6
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