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Simplifying 2n + 30 = 4 + 6(4n + -3) Reorder the terms: 30 + 2n = 4 + 6(4n + -3) Reorder the terms: 30 + 2n = 4 + 6(-3 + 4n) 30 + 2n = 4 + (-3 * 6 + 4n * 6) 30 + 2n = 4 + (-18 + 24n) Combine like terms: 4 + -18 = -14 30 + 2n = -14 + 24n Solving 30 + 2n = -14 + 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. 30 + 2n + -24n = -14 + 24n + -24n Combine like terms: 2n + -24n = -22n 30 + -22n = -14 + 24n + -24n Combine like terms: 24n + -24n = 0 30 + -22n = -14 + 0 30 + -22n = -14 Add '-30' to each side of the equation. 30 + -30 + -22n = -14 + -30 Combine like terms: 30 + -30 = 0 0 + -22n = -14 + -30 -22n = -14 + -30 Combine like terms: -14 + -30 = -44 -22n = -44 Divide each side by '-22'. n = 2 Simplifying n = 2
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