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Simplifying -90 = -8(-3n + 5) + -2 Reorder the terms: -90 = -8(5 + -3n) + -2 -90 = (5 * -8 + -3n * -8) + -2 -90 = (-40 + 24n) + -2 Reorder the terms: -90 = -40 + -2 + 24n Combine like terms: -40 + -2 = -42 -90 = -42 + 24n Solving -90 = -42 + 24n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-24n' to each side of the equation. -90 + -24n = -42 + 24n + -24n Combine like terms: 24n + -24n = 0 -90 + -24n = -42 + 0 -90 + -24n = -42 Add '90' to each side of the equation. -90 + 90 + -24n = -42 + 90 Combine like terms: -90 + 90 = 0 0 + -24n = -42 + 90 -24n = -42 + 90 Combine like terms: -42 + 90 = 48 -24n = 48 Divide each side by '-24'. n = -2 Simplifying n = -2
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