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Simplifying 7(-7 + 4n) = -3n + 13 (-7 * 7 + 4n * 7) = -3n + 13 (-49 + 28n) = -3n + 13 Reorder the terms: -49 + 28n = 13 + -3n Solving -49 + 28n = 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. -49 + 28n + 3n = 13 + -3n + 3n Combine like terms: 28n + 3n = 31n -49 + 31n = 13 + -3n + 3n Combine like terms: -3n + 3n = 0 -49 + 31n = 13 + 0 -49 + 31n = 13 Add '49' to each side of the equation. -49 + 49 + 31n = 13 + 49 Combine like terms: -49 + 49 = 0 0 + 31n = 13 + 49 31n = 13 + 49 Combine like terms: 13 + 49 = 62 31n = 62 Divide each side by '31'. n = 2 Simplifying n = 2
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