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Simplifying 8(n + -5) + -5n = 4n + -37 Reorder the terms: 8(-5 + n) + -5n = 4n + -37 (-5 * 8 + n * 8) + -5n = 4n + -37 (-40 + 8n) + -5n = 4n + -37 Combine like terms: 8n + -5n = 3n -40 + 3n = 4n + -37 Reorder the terms: -40 + 3n = -37 + 4n Solving -40 + 3n = -37 + 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. -40 + 3n + -4n = -37 + 4n + -4n Combine like terms: 3n + -4n = -1n -40 + -1n = -37 + 4n + -4n Combine like terms: 4n + -4n = 0 -40 + -1n = -37 + 0 -40 + -1n = -37 Add '40' to each side of the equation. -40 + 40 + -1n = -37 + 40 Combine like terms: -40 + 40 = 0 0 + -1n = -37 + 40 -1n = -37 + 40 Combine like terms: -37 + 40 = 3 -1n = 3 Divide each side by '-1'. n = -3 Simplifying n = -3
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