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Simplifying 165 = 4(6n + 6) + -3 Reorder the terms: 165 = 4(6 + 6n) + -3 165 = (6 * 4 + 6n * 4) + -3 165 = (24 + 24n) + -3 Reorder the terms: 165 = 24 + -3 + 24n Combine like terms: 24 + -3 = 21 165 = 21 + 24n Solving 165 = 21 + 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. 165 + -24n = 21 + 24n + -24n Combine like terms: 24n + -24n = 0 165 + -24n = 21 + 0 165 + -24n = 21 Add '-165' to each side of the equation. 165 + -165 + -24n = 21 + -165 Combine like terms: 165 + -165 = 0 0 + -24n = 21 + -165 -24n = 21 + -165 Combine like terms: 21 + -165 = -144 -24n = -144 Divide each side by '-24'. n = 6 Simplifying n = 6
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