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Simplifying 7(-7n + -7) + -4n = 2n + 6 Reorder the terms: 7(-7 + -7n) + -4n = 2n + 6 (-7 * 7 + -7n * 7) + -4n = 2n + 6 (-49 + -49n) + -4n = 2n + 6 Combine like terms: -49n + -4n = -53n -49 + -53n = 2n + 6 Reorder the terms: -49 + -53n = 6 + 2n Solving -49 + -53n = 6 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. -49 + -53n + -2n = 6 + 2n + -2n Combine like terms: -53n + -2n = -55n -49 + -55n = 6 + 2n + -2n Combine like terms: 2n + -2n = 0 -49 + -55n = 6 + 0 -49 + -55n = 6 Add '49' to each side of the equation. -49 + 49 + -55n = 6 + 49 Combine like terms: -49 + 49 = 0 0 + -55n = 6 + 49 -55n = 6 + 49 Combine like terms: 6 + 49 = 55 -55n = 55 Divide each side by '-55'. n = -1 Simplifying n = -1
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