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Simplifying -3(n + -6) = 12(n + -4) + 7 Reorder the terms: -3(-6 + n) = 12(n + -4) + 7 (-6 * -3 + n * -3) = 12(n + -4) + 7 (18 + -3n) = 12(n + -4) + 7 Reorder the terms: 18 + -3n = 12(-4 + n) + 7 18 + -3n = (-4 * 12 + n * 12) + 7 18 + -3n = (-48 + 12n) + 7 Reorder the terms: 18 + -3n = -48 + 7 + 12n Combine like terms: -48 + 7 = -41 18 + -3n = -41 + 12n Solving 18 + -3n = -41 + 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. 18 + -3n + -12n = -41 + 12n + -12n Combine like terms: -3n + -12n = -15n 18 + -15n = -41 + 12n + -12n Combine like terms: 12n + -12n = 0 18 + -15n = -41 + 0 18 + -15n = -41 Add '-18' to each side of the equation. 18 + -18 + -15n = -41 + -18 Combine like terms: 18 + -18 = 0 0 + -15n = -41 + -18 -15n = -41 + -18 Combine like terms: -41 + -18 = -59 -15n = -59 Divide each side by '-15'. n = 3.933333333 Simplifying n = 3.933333333
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