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Simplifying -93 = 3(4n + 1) Reorder the terms: -93 = 3(1 + 4n) -93 = (1 * 3 + 4n * 3) -93 = (3 + 12n) Solving -93 = 3 + 12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12n' to each side of the equation. -93 + -12n = 3 + 12n + -12n Combine like terms: 12n + -12n = 0 -93 + -12n = 3 + 0 -93 + -12n = 3 Add '93' to each side of the equation. -93 + 93 + -12n = 3 + 93 Combine like terms: -93 + 93 = 0 0 + -12n = 3 + 93 -12n = 3 + 93 Combine like terms: 3 + 93 = 96 -12n = 96 Divide each side by '-12'. n = -8 Simplifying n = -8
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