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Simplifying -6 = 7 + 3(4n + -3) Reorder the terms: -6 = 7 + 3(-3 + 4n) -6 = 7 + (-3 * 3 + 4n * 3) -6 = 7 + (-9 + 12n) Combine like terms: 7 + -9 = -2 -6 = -2 + 12n Solving -6 = -2 + 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. -6 + -12n = -2 + 12n + -12n Combine like terms: 12n + -12n = 0 -6 + -12n = -2 + 0 -6 + -12n = -2 Add '6' to each side of the equation. -6 + 6 + -12n = -2 + 6 Combine like terms: -6 + 6 = 0 0 + -12n = -2 + 6 -12n = -2 + 6 Combine like terms: -2 + 6 = 4 -12n = 4 Divide each side by '-12'. n = -0.3333333333 Simplifying n = -0.3333333333
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