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Simplifying -4(4n + 12) = -7(3n + -11) Reorder the terms: -4(12 + 4n) = -7(3n + -11) (12 * -4 + 4n * -4) = -7(3n + -11) (-48 + -16n) = -7(3n + -11) Reorder the terms: -48 + -16n = -7(-11 + 3n) -48 + -16n = (-11 * -7 + 3n * -7) -48 + -16n = (77 + -21n) Solving -48 + -16n = 77 + -21n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '21n' to each side of the equation. -48 + -16n + 21n = 77 + -21n + 21n Combine like terms: -16n + 21n = 5n -48 + 5n = 77 + -21n + 21n Combine like terms: -21n + 21n = 0 -48 + 5n = 77 + 0 -48 + 5n = 77 Add '48' to each side of the equation. -48 + 48 + 5n = 77 + 48 Combine like terms: -48 + 48 = 0 0 + 5n = 77 + 48 5n = 77 + 48 Combine like terms: 77 + 48 = 125 5n = 125 Divide each side by '5'. n = 25 Simplifying n = 25
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