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Simplifying -3n + 4(n + -5) = -30 + -4n Reorder the terms: -3n + 4(-5 + n) = -30 + -4n -3n + (-5 * 4 + n * 4) = -30 + -4n -3n + (-20 + 4n) = -30 + -4n Reorder the terms: -20 + -3n + 4n = -30 + -4n Combine like terms: -3n + 4n = 1n -20 + 1n = -30 + -4n Solving -20 + 1n = -30 + -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. -20 + 1n + 4n = -30 + -4n + 4n Combine like terms: 1n + 4n = 5n -20 + 5n = -30 + -4n + 4n Combine like terms: -4n + 4n = 0 -20 + 5n = -30 + 0 -20 + 5n = -30 Add '20' to each side of the equation. -20 + 20 + 5n = -30 + 20 Combine like terms: -20 + 20 = 0 0 + 5n = -30 + 20 5n = -30 + 20 Combine like terms: -30 + 20 = -10 5n = -10 Divide each side by '5'. n = -2 Simplifying n = -2
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