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Simplifying -18 + 2n = 6(4n + 8) Reorder the terms: -18 + 2n = 6(8 + 4n) -18 + 2n = (8 * 6 + 4n * 6) -18 + 2n = (48 + 24n) Solving -18 + 2n = 48 + 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. -18 + 2n + -24n = 48 + 24n + -24n Combine like terms: 2n + -24n = -22n -18 + -22n = 48 + 24n + -24n Combine like terms: 24n + -24n = 0 -18 + -22n = 48 + 0 -18 + -22n = 48 Add '18' to each side of the equation. -18 + 18 + -22n = 48 + 18 Combine like terms: -18 + 18 = 0 0 + -22n = 48 + 18 -22n = 48 + 18 Combine like terms: 48 + 18 = 66 -22n = 66 Divide each side by '-22'. n = -3 Simplifying n = -3
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