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Simplifying 5(n + -4) + -1 = -7n + 3 Reorder the terms: 5(-4 + n) + -1 = -7n + 3 (-4 * 5 + n * 5) + -1 = -7n + 3 (-20 + 5n) + -1 = -7n + 3 Reorder the terms: -20 + -1 + 5n = -7n + 3 Combine like terms: -20 + -1 = -21 -21 + 5n = -7n + 3 Reorder the terms: -21 + 5n = 3 + -7n Solving -21 + 5n = 3 + -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 = 3 + -7n + 7n Combine like terms: 5n + 7n = 12n -21 + 12n = 3 + -7n + 7n Combine like terms: -7n + 7n = 0 -21 + 12n = 3 + 0 -21 + 12n = 3 Add '21' to each side of the equation. -21 + 21 + 12n = 3 + 21 Combine like terms: -21 + 21 = 0 0 + 12n = 3 + 21 12n = 3 + 21 Combine like terms: 3 + 21 = 24 12n = 24 Divide each side by '12'. n = 2 Simplifying n = 2
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