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Simplifying 5(-7n + 8) = 3n + 2 Reorder the terms: 5(8 + -7n) = 3n + 2 (8 * 5 + -7n * 5) = 3n + 2 (40 + -35n) = 3n + 2 Reorder the terms: 40 + -35n = 2 + 3n Solving 40 + -35n = 2 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 40 + -35n + -3n = 2 + 3n + -3n Combine like terms: -35n + -3n = -38n 40 + -38n = 2 + 3n + -3n Combine like terms: 3n + -3n = 0 40 + -38n = 2 + 0 40 + -38n = 2 Add '-40' to each side of the equation. 40 + -40 + -38n = 2 + -40 Combine like terms: 40 + -40 = 0 0 + -38n = 2 + -40 -38n = 2 + -40 Combine like terms: 2 + -40 = -38 -38n = -38 Divide each side by '-38'. n = 1 Simplifying n = 1
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