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Simplifying 4(n + -5) + 2 = n + 3 Reorder the terms: 4(-5 + n) + 2 = n + 3 (-5 * 4 + n * 4) + 2 = n + 3 (-20 + 4n) + 2 = n + 3 Reorder the terms: -20 + 2 + 4n = n + 3 Combine like terms: -20 + 2 = -18 -18 + 4n = n + 3 Reorder the terms: -18 + 4n = 3 + n Solving -18 + 4n = 3 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. -18 + 4n + -1n = 3 + n + -1n Combine like terms: 4n + -1n = 3n -18 + 3n = 3 + n + -1n Combine like terms: n + -1n = 0 -18 + 3n = 3 + 0 -18 + 3n = 3 Add '18' to each side of the equation. -18 + 18 + 3n = 3 + 18 Combine like terms: -18 + 18 = 0 0 + 3n = 3 + 18 3n = 3 + 18 Combine like terms: 3 + 18 = 21 3n = 21 Divide each side by '3'. n = 7 Simplifying n = 7
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