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Simplifying -2(3n + -1) + 3 + (n + 5) = -4(n + -4) Reorder the terms: -2(-1 + 3n) + 3 + (n + 5) = -4(n + -4) (-1 * -2 + 3n * -2) + 3 + (n + 5) = -4(n + -4) (2 + -6n) + 3 + (n + 5) = -4(n + -4) Reorder the terms: 2 + -6n + 3 + (5 + n) = -4(n + -4) Remove parenthesis around (5 + n) 2 + -6n + 3 + 5 + n = -4(n + -4) Reorder the terms: 2 + 3 + 5 + -6n + n = -4(n + -4) Combine like terms: 2 + 3 = 5 5 + 5 + -6n + n = -4(n + -4) Combine like terms: 5 + 5 = 10 10 + -6n + n = -4(n + -4) Combine like terms: -6n + n = -5n 10 + -5n = -4(n + -4) Reorder the terms: 10 + -5n = -4(-4 + n) 10 + -5n = (-4 * -4 + n * -4) 10 + -5n = (16 + -4n) Solving 10 + -5n = 16 + -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. 10 + -5n + 4n = 16 + -4n + 4n Combine like terms: -5n + 4n = -1n 10 + -1n = 16 + -4n + 4n Combine like terms: -4n + 4n = 0 10 + -1n = 16 + 0 10 + -1n = 16 Add '-10' to each side of the equation. 10 + -10 + -1n = 16 + -10 Combine like terms: 10 + -10 = 0 0 + -1n = 16 + -10 -1n = 16 + -10 Combine like terms: 16 + -10 = 6 -1n = 6 Divide each side by '-1'. n = -6 Simplifying n = -6
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