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Simplifying -5(n + 4) + 3n = -13 + -3n Reorder the terms: -5(4 + n) + 3n = -13 + -3n (4 * -5 + n * -5) + 3n = -13 + -3n (-20 + -5n) + 3n = -13 + -3n Combine like terms: -5n + 3n = -2n -20 + -2n = -13 + -3n Solving -20 + -2n = -13 + -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. -20 + -2n + 3n = -13 + -3n + 3n Combine like terms: -2n + 3n = 1n -20 + 1n = -13 + -3n + 3n Combine like terms: -3n + 3n = 0 -20 + 1n = -13 + 0 -20 + 1n = -13 Add '20' to each side of the equation. -20 + 20 + 1n = -13 + 20 Combine like terms: -20 + 20 = 0 0 + 1n = -13 + 20 1n = -13 + 20 Combine like terms: -13 + 20 = 7 1n = 7 Divide each side by '1'. n = 7 Simplifying n = 7
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