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Simplifying 3 + 3(n + -3) = 4(6n + 4) + -1 Reorder the terms: 3 + 3(-3 + n) = 4(6n + 4) + -1 3 + (-3 * 3 + n * 3) = 4(6n + 4) + -1 3 + (-9 + 3n) = 4(6n + 4) + -1 Combine like terms: 3 + -9 = -6 -6 + 3n = 4(6n + 4) + -1 Reorder the terms: -6 + 3n = 4(4 + 6n) + -1 -6 + 3n = (4 * 4 + 6n * 4) + -1 -6 + 3n = (16 + 24n) + -1 Reorder the terms: -6 + 3n = 16 + -1 + 24n Combine like terms: 16 + -1 = 15 -6 + 3n = 15 + 24n Solving -6 + 3n = 15 + 24n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-24n' to each side of the equation. -6 + 3n + -24n = 15 + 24n + -24n Combine like terms: 3n + -24n = -21n -6 + -21n = 15 + 24n + -24n Combine like terms: 24n + -24n = 0 -6 + -21n = 15 + 0 -6 + -21n = 15 Add '6' to each side of the equation. -6 + 6 + -21n = 15 + 6 Combine like terms: -6 + 6 = 0 0 + -21n = 15 + 6 -21n = 15 + 6 Combine like terms: 15 + 6 = 21 -21n = 21 Divide each side by '-21'. n = -1 Simplifying n = -1
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