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Simplifying -20 + 7n = 6(4n + 8) Reorder the terms: -20 + 7n = 6(8 + 4n) -20 + 7n = (8 * 6 + 4n * 6) -20 + 7n = (48 + 24n) Solving -20 + 7n = 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. -20 + 7n + -24n = 48 + 24n + -24n Combine like terms: 7n + -24n = -17n -20 + -17n = 48 + 24n + -24n Combine like terms: 24n + -24n = 0 -20 + -17n = 48 + 0 -20 + -17n = 48 Add '20' to each side of the equation. -20 + 20 + -17n = 48 + 20 Combine like terms: -20 + 20 = 0 0 + -17n = 48 + 20 -17n = 48 + 20 Combine like terms: 48 + 20 = 68 -17n = 68 Divide each side by '-17'. n = -4 Simplifying n = -4
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