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Simplifying 4(3n + -2) = (7n + 4) + 6 Reorder the terms: 4(-2 + 3n) = (7n + 4) + 6 (-2 * 4 + 3n * 4) = (7n + 4) + 6 (-8 + 12n) = (7n + 4) + 6 Reorder the terms: -8 + 12n = (4 + 7n) + 6 Remove parenthesis around (4 + 7n) -8 + 12n = 4 + 7n + 6 Reorder the terms: -8 + 12n = 4 + 6 + 7n Combine like terms: 4 + 6 = 10 -8 + 12n = 10 + 7n Solving -8 + 12n = 10 + 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. -8 + 12n + -7n = 10 + 7n + -7n Combine like terms: 12n + -7n = 5n -8 + 5n = 10 + 7n + -7n Combine like terms: 7n + -7n = 0 -8 + 5n = 10 + 0 -8 + 5n = 10 Add '8' to each side of the equation. -8 + 8 + 5n = 10 + 8 Combine like terms: -8 + 8 = 0 0 + 5n = 10 + 8 5n = 10 + 8 Combine like terms: 10 + 8 = 18 5n = 18 Divide each side by '5'. n = 3.6 Simplifying n = 3.6
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