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Simplifying -115 = 1 + 4(5n + -4) Reorder the terms: -115 = 1 + 4(-4 + 5n) -115 = 1 + (-4 * 4 + 5n * 4) -115 = 1 + (-16 + 20n) Combine like terms: 1 + -16 = -15 -115 = -15 + 20n Solving -115 = -15 + 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. -115 + -20n = -15 + 20n + -20n Combine like terms: 20n + -20n = 0 -115 + -20n = -15 + 0 -115 + -20n = -15 Add '115' to each side of the equation. -115 + 115 + -20n = -15 + 115 Combine like terms: -115 + 115 = 0 0 + -20n = -15 + 115 -20n = -15 + 115 Combine like terms: -15 + 115 = 100 -20n = 100 Divide each side by '-20'. n = -5 Simplifying n = -5
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