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Simplifying 4(3n + -7) = 2 + -3n Reorder the terms: 4(-7 + 3n) = 2 + -3n (-7 * 4 + 3n * 4) = 2 + -3n (-28 + 12n) = 2 + -3n Solving -28 + 12n = 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. -28 + 12n + 3n = 2 + -3n + 3n Combine like terms: 12n + 3n = 15n -28 + 15n = 2 + -3n + 3n Combine like terms: -3n + 3n = 0 -28 + 15n = 2 + 0 -28 + 15n = 2 Add '28' to each side of the equation. -28 + 28 + 15n = 2 + 28 Combine like terms: -28 + 28 = 0 0 + 15n = 2 + 28 15n = 2 + 28 Combine like terms: 2 + 28 = 30 15n = 30 Divide each side by '15'. n = 2 Simplifying n = 2
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