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Simplifying -7(3n + 5) = 1 + -3n Reorder the terms: -7(5 + 3n) = 1 + -3n (5 * -7 + 3n * -7) = 1 + -3n (-35 + -21n) = 1 + -3n Solving -35 + -21n = 1 + -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. -35 + -21n + 3n = 1 + -3n + 3n Combine like terms: -21n + 3n = -18n -35 + -18n = 1 + -3n + 3n Combine like terms: -3n + 3n = 0 -35 + -18n = 1 + 0 -35 + -18n = 1 Add '35' to each side of the equation. -35 + 35 + -18n = 1 + 35 Combine like terms: -35 + 35 = 0 0 + -18n = 1 + 35 -18n = 1 + 35 Combine like terms: 1 + 35 = 36 -18n = 36 Divide each side by '-18'. n = -2 Simplifying n = -2
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