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Simplifying -7(n + 7) = -4(1 + 3n) Reorder the terms: -7(7 + n) = -4(1 + 3n) (7 * -7 + n * -7) = -4(1 + 3n) (-49 + -7n) = -4(1 + 3n) -49 + -7n = (1 * -4 + 3n * -4) -49 + -7n = (-4 + -12n) Solving -49 + -7n = -4 + -12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '12n' to each side of the equation. -49 + -7n + 12n = -4 + -12n + 12n Combine like terms: -7n + 12n = 5n -49 + 5n = -4 + -12n + 12n Combine like terms: -12n + 12n = 0 -49 + 5n = -4 + 0 -49 + 5n = -4 Add '49' to each side of the equation. -49 + 49 + 5n = -4 + 49 Combine like terms: -49 + 49 = 0 0 + 5n = -4 + 49 5n = -4 + 49 Combine like terms: -4 + 49 = 45 5n = 45 Divide each side by '5'. n = 9 Simplifying n = 9
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