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Simplifying 4(n + -5) + 2 = 3n + -4 Reorder the terms: 4(-5 + n) + 2 = 3n + -4 (-5 * 4 + n * 4) + 2 = 3n + -4 (-20 + 4n) + 2 = 3n + -4 Reorder the terms: -20 + 2 + 4n = 3n + -4 Combine like terms: -20 + 2 = -18 -18 + 4n = 3n + -4 Reorder the terms: -18 + 4n = -4 + 3n Solving -18 + 4n = -4 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. -18 + 4n + -3n = -4 + 3n + -3n Combine like terms: 4n + -3n = 1n -18 + 1n = -4 + 3n + -3n Combine like terms: 3n + -3n = 0 -18 + 1n = -4 + 0 -18 + 1n = -4 Add '18' to each side of the equation. -18 + 18 + 1n = -4 + 18 Combine like terms: -18 + 18 = 0 0 + 1n = -4 + 18 1n = -4 + 18 Combine like terms: -4 + 18 = 14 1n = 14 Divide each side by '1'. n = 14 Simplifying n = 14
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