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Simplifying 5(n + -8) + 3(1 + -1n) = -23 Reorder the terms: 5(-8 + n) + 3(1 + -1n) = -23 (-8 * 5 + n * 5) + 3(1 + -1n) = -23 (-40 + 5n) + 3(1 + -1n) = -23 -40 + 5n + (1 * 3 + -1n * 3) = -23 -40 + 5n + (3 + -3n) = -23 Reorder the terms: -40 + 3 + 5n + -3n = -23 Combine like terms: -40 + 3 = -37 -37 + 5n + -3n = -23 Combine like terms: 5n + -3n = 2n -37 + 2n = -23 Solving -37 + 2n = -23 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '37' to each side of the equation. -37 + 37 + 2n = -23 + 37 Combine like terms: -37 + 37 = 0 0 + 2n = -23 + 37 2n = -23 + 37 Combine like terms: -23 + 37 = 14 2n = 14 Divide each side by '2'. n = 7 Simplifying n = 7
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