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Simplifying n + -13 = 2(2n + 4) Reorder the terms: -13 + n = 2(2n + 4) Reorder the terms: -13 + n = 2(4 + 2n) -13 + n = (4 * 2 + 2n * 2) -13 + n = (8 + 4n) Solving -13 + n = 8 + 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. -13 + n + -4n = 8 + 4n + -4n Combine like terms: n + -4n = -3n -13 + -3n = 8 + 4n + -4n Combine like terms: 4n + -4n = 0 -13 + -3n = 8 + 0 -13 + -3n = 8 Add '13' to each side of the equation. -13 + 13 + -3n = 8 + 13 Combine like terms: -13 + 13 = 0 0 + -3n = 8 + 13 -3n = 8 + 13 Combine like terms: 8 + 13 = 21 -3n = 21 Divide each side by '-3'. n = -7 Simplifying n = -7
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