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Simplifying 9n + 4(n + -10) = 14n Reorder the terms: 9n + 4(-10 + n) = 14n 9n + (-10 * 4 + n * 4) = 14n 9n + (-40 + 4n) = 14n Reorder the terms: -40 + 9n + 4n = 14n Combine like terms: 9n + 4n = 13n -40 + 13n = 14n Solving -40 + 13n = 14n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-14n' to each side of the equation. -40 + 13n + -14n = 14n + -14n Combine like terms: 13n + -14n = -1n -40 + -1n = 14n + -14n Combine like terms: 14n + -14n = 0 -40 + -1n = 0 Add '40' to each side of the equation. -40 + 40 + -1n = 0 + 40 Combine like terms: -40 + 40 = 0 0 + -1n = 0 + 40 -1n = 0 + 40 Combine like terms: 0 + 40 = 40 -1n = 40 Divide each side by '-1'. n = -40 Simplifying n = -40
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