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Simplifying -98 = -3(1 + 4n) + 1 -98 = (1 * -3 + 4n * -3) + 1 -98 = (-3 + -12n) + 1 Reorder the terms: -98 = -3 + 1 + -12n Combine like terms: -3 + 1 = -2 -98 = -2 + -12n Solving -98 = -2 + -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. -98 + 12n = -2 + -12n + 12n Combine like terms: -12n + 12n = 0 -98 + 12n = -2 + 0 -98 + 12n = -2 Add '98' to each side of the equation. -98 + 98 + 12n = -2 + 98 Combine like terms: -98 + 98 = 0 0 + 12n = -2 + 98 12n = -2 + 98 Combine like terms: -2 + 98 = 96 12n = 96 Divide each side by '12'. n = 8 Simplifying n = 8
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