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Simplifying 4(3n + -8) = 7n + -2 Reorder the terms: 4(-8 + 3n) = 7n + -2 (-8 * 4 + 3n * 4) = 7n + -2 (-32 + 12n) = 7n + -2 Reorder the terms: -32 + 12n = -2 + 7n Solving -32 + 12n = -2 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. -32 + 12n + -7n = -2 + 7n + -7n Combine like terms: 12n + -7n = 5n -32 + 5n = -2 + 7n + -7n Combine like terms: 7n + -7n = 0 -32 + 5n = -2 + 0 -32 + 5n = -2 Add '32' to each side of the equation. -32 + 32 + 5n = -2 + 32 Combine like terms: -32 + 32 = 0 0 + 5n = -2 + 32 5n = -2 + 32 Combine like terms: -2 + 32 = 30 5n = 30 Divide each side by '5'. n = 6 Simplifying n = 6
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