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Simplifying 4(n + -3) = -6(2n + 1) Reorder the terms: 4(-3 + n) = -6(2n + 1) (-3 * 4 + n * 4) = -6(2n + 1) (-12 + 4n) = -6(2n + 1) Reorder the terms: -12 + 4n = -6(1 + 2n) -12 + 4n = (1 * -6 + 2n * -6) -12 + 4n = (-6 + -12n) Solving -12 + 4n = -6 + -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. -12 + 4n + 12n = -6 + -12n + 12n Combine like terms: 4n + 12n = 16n -12 + 16n = -6 + -12n + 12n Combine like terms: -12n + 12n = 0 -12 + 16n = -6 + 0 -12 + 16n = -6 Add '12' to each side of the equation. -12 + 12 + 16n = -6 + 12 Combine like terms: -12 + 12 = 0 0 + 16n = -6 + 12 16n = -6 + 12 Combine like terms: -6 + 12 = 6 16n = 6 Divide each side by '16'. n = 0.375 Simplifying n = 0.375
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