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Simplifying -2n + 5(n + -9) = 4(n + -10) Reorder the terms: -2n + 5(-9 + n) = 4(n + -10) -2n + (-9 * 5 + n * 5) = 4(n + -10) -2n + (-45 + 5n) = 4(n + -10) Reorder the terms: -45 + -2n + 5n = 4(n + -10) Combine like terms: -2n + 5n = 3n -45 + 3n = 4(n + -10) Reorder the terms: -45 + 3n = 4(-10 + n) -45 + 3n = (-10 * 4 + n * 4) -45 + 3n = (-40 + 4n) Solving -45 + 3n = -40 + 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. -45 + 3n + -4n = -40 + 4n + -4n Combine like terms: 3n + -4n = -1n -45 + -1n = -40 + 4n + -4n Combine like terms: 4n + -4n = 0 -45 + -1n = -40 + 0 -45 + -1n = -40 Add '45' to each side of the equation. -45 + 45 + -1n = -40 + 45 Combine like terms: -45 + 45 = 0 0 + -1n = -40 + 45 -1n = -40 + 45 Combine like terms: -40 + 45 = 5 -1n = 5 Divide each side by '-1'. n = -5 Simplifying n = -5
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