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Simplifying -94 = 1 + 5(1 + 4n) -94 = 1 + (1 * 5 + 4n * 5) -94 = 1 + (5 + 20n) Combine like terms: 1 + 5 = 6 -94 = 6 + 20n Solving -94 = 6 + 20n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-20n' to each side of the equation. -94 + -20n = 6 + 20n + -20n Combine like terms: 20n + -20n = 0 -94 + -20n = 6 + 0 -94 + -20n = 6 Add '94' to each side of the equation. -94 + 94 + -20n = 6 + 94 Combine like terms: -94 + 94 = 0 0 + -20n = 6 + 94 -20n = 6 + 94 Combine like terms: 6 + 94 = 100 -20n = 100 Divide each side by '-20'. n = -5 Simplifying n = -5
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