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Simplifying 5(n + -4) + -1 = 7n + 1 Reorder the terms: 5(-4 + n) + -1 = 7n + 1 (-4 * 5 + n * 5) + -1 = 7n + 1 (-20 + 5n) + -1 = 7n + 1 Reorder the terms: -20 + -1 + 5n = 7n + 1 Combine like terms: -20 + -1 = -21 -21 + 5n = 7n + 1 Reorder the terms: -21 + 5n = 1 + 7n Solving -21 + 5n = 1 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. -21 + 5n + -7n = 1 + 7n + -7n Combine like terms: 5n + -7n = -2n -21 + -2n = 1 + 7n + -7n Combine like terms: 7n + -7n = 0 -21 + -2n = 1 + 0 -21 + -2n = 1 Add '21' to each side of the equation. -21 + 21 + -2n = 1 + 21 Combine like terms: -21 + 21 = 0 0 + -2n = 1 + 21 -2n = 1 + 21 Combine like terms: 1 + 21 = 22 -2n = 22 Divide each side by '-2'. n = -11 Simplifying n = -11
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