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Simplifying -83 = -2(-4 + 5n) + -3n -83 = (-4 * -2 + 5n * -2) + -3n -83 = (8 + -10n) + -3n Combine like terms: -10n + -3n = -13n -83 = 8 + -13n Solving -83 = 8 + -13n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '13n' to each side of the equation. -83 + 13n = 8 + -13n + 13n Combine like terms: -13n + 13n = 0 -83 + 13n = 8 + 0 -83 + 13n = 8 Add '83' to each side of the equation. -83 + 83 + 13n = 8 + 83 Combine like terms: -83 + 83 = 0 0 + 13n = 8 + 83 13n = 8 + 83 Combine like terms: 8 + 83 = 91 13n = 91 Divide each side by '13'. n = 7 Simplifying n = 7
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