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Simplifying -7(4n + -4) = 12(n + -11) Reorder the terms: -7(-4 + 4n) = 12(n + -11) (-4 * -7 + 4n * -7) = 12(n + -11) (28 + -28n) = 12(n + -11) Reorder the terms: 28 + -28n = 12(-11 + n) 28 + -28n = (-11 * 12 + n * 12) 28 + -28n = (-132 + 12n) Solving 28 + -28n = -132 + 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. 28 + -28n + -12n = -132 + 12n + -12n Combine like terms: -28n + -12n = -40n 28 + -40n = -132 + 12n + -12n Combine like terms: 12n + -12n = 0 28 + -40n = -132 + 0 28 + -40n = -132 Add '-28' to each side of the equation. 28 + -28 + -40n = -132 + -28 Combine like terms: 28 + -28 = 0 0 + -40n = -132 + -28 -40n = -132 + -28 Combine like terms: -132 + -28 = -160 -40n = -160 Divide each side by '-40'. n = 4 Simplifying n = 4
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