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Simplifying -96 = 3n + -5(-7n + 4) Reorder the terms: -96 = 3n + -5(4 + -7n) -96 = 3n + (4 * -5 + -7n * -5) -96 = 3n + (-20 + 35n) Reorder the terms: -96 = -20 + 3n + 35n Combine like terms: 3n + 35n = 38n -96 = -20 + 38n Solving -96 = -20 + 38n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-38n' to each side of the equation. -96 + -38n = -20 + 38n + -38n Combine like terms: 38n + -38n = 0 -96 + -38n = -20 + 0 -96 + -38n = -20 Add '96' to each side of the equation. -96 + 96 + -38n = -20 + 96 Combine like terms: -96 + 96 = 0 0 + -38n = -20 + 96 -38n = -20 + 96 Combine like terms: -20 + 96 = 76 -38n = 76 Divide each side by '-38'. n = -2 Simplifying n = -2
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