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Simplifying -114 = -5(7 + -4n) + 1 -114 = (7 * -5 + -4n * -5) + 1 -114 = (-35 + 20n) + 1 Reorder the terms: -114 = -35 + 1 + 20n Combine like terms: -35 + 1 = -34 -114 = -34 + 20n Solving -114 = -34 + 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. -114 + -20n = -34 + 20n + -20n Combine like terms: 20n + -20n = 0 -114 + -20n = -34 + 0 -114 + -20n = -34 Add '114' to each side of the equation. -114 + 114 + -20n = -34 + 114 Combine like terms: -114 + 114 = 0 0 + -20n = -34 + 114 -20n = -34 + 114 Combine like terms: -34 + 114 = 80 -20n = 80 Divide each side by '-20'. n = -4 Simplifying n = -4
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