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Simplifying 5(n + -5) + 4(n + -10) = -5n + 9n Reorder the terms: 5(-5 + n) + 4(n + -10) = -5n + 9n (-5 * 5 + n * 5) + 4(n + -10) = -5n + 9n (-25 + 5n) + 4(n + -10) = -5n + 9n Reorder the terms: -25 + 5n + 4(-10 + n) = -5n + 9n -25 + 5n + (-10 * 4 + n * 4) = -5n + 9n -25 + 5n + (-40 + 4n) = -5n + 9n Reorder the terms: -25 + -40 + 5n + 4n = -5n + 9n Combine like terms: -25 + -40 = -65 -65 + 5n + 4n = -5n + 9n Combine like terms: 5n + 4n = 9n -65 + 9n = -5n + 9n Combine like terms: -5n + 9n = 4n -65 + 9n = 4n Solving -65 + 9n = 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. -65 + 9n + -4n = 4n + -4n Combine like terms: 9n + -4n = 5n -65 + 5n = 4n + -4n Combine like terms: 4n + -4n = 0 -65 + 5n = 0 Add '65' to each side of the equation. -65 + 65 + 5n = 0 + 65 Combine like terms: -65 + 65 = 0 0 + 5n = 0 + 65 5n = 0 + 65 Combine like terms: 0 + 65 = 65 5n = 65 Divide each side by '5'. n = 13 Simplifying n = 13
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