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Simplifying -5(5n + 8) + -2n = -1n + -40 Reorder the terms: -5(8 + 5n) + -2n = -1n + -40 (8 * -5 + 5n * -5) + -2n = -1n + -40 (-40 + -25n) + -2n = -1n + -40 Combine like terms: -25n + -2n = -27n -40 + -27n = -1n + -40 Reorder the terms: -40 + -27n = -40 + -1n Add '40' to each side of the equation. -40 + 40 + -27n = -40 + 40 + -1n Combine like terms: -40 + 40 = 0 0 + -27n = -40 + 40 + -1n -27n = -40 + 40 + -1n Combine like terms: -40 + 40 = 0 -27n = 0 + -1n -27n = -1n Solving -27n = -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. -27n + n = -1n + n Combine like terms: -27n + n = -26n -26n = -1n + n Combine like terms: -1n + n = 0 -26n = 0 Divide each side by '-26'. n = 0 Simplifying n = 0
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