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Simplifying 4 + -7n = -4(n + 5) Reorder the terms: 4 + -7n = -4(5 + n) 4 + -7n = (5 * -4 + n * -4) 4 + -7n = (-20 + -4n) Solving 4 + -7n = -20 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. 4 + -7n + 4n = -20 + -4n + 4n Combine like terms: -7n + 4n = -3n 4 + -3n = -20 + -4n + 4n Combine like terms: -4n + 4n = 0 4 + -3n = -20 + 0 4 + -3n = -20 Add '-4' to each side of the equation. 4 + -4 + -3n = -20 + -4 Combine like terms: 4 + -4 = 0 0 + -3n = -20 + -4 -3n = -20 + -4 Combine like terms: -20 + -4 = -24 -3n = -24 Divide each side by '-3'. n = 8 Simplifying n = 8
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