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Simplifying -4n + -3(4 + 3n) = -3(1 + 4n) -4n + (4 * -3 + 3n * -3) = -3(1 + 4n) -4n + (-12 + -9n) = -3(1 + 4n) Reorder the terms: -12 + -4n + -9n = -3(1 + 4n) Combine like terms: -4n + -9n = -13n -12 + -13n = -3(1 + 4n) -12 + -13n = (1 * -3 + 4n * -3) -12 + -13n = (-3 + -12n) Solving -12 + -13n = -3 + -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 + -13n + 12n = -3 + -12n + 12n Combine like terms: -13n + 12n = -1n -12 + -1n = -3 + -12n + 12n Combine like terms: -12n + 12n = 0 -12 + -1n = -3 + 0 -12 + -1n = -3 Add '12' to each side of the equation. -12 + 12 + -1n = -3 + 12 Combine like terms: -12 + 12 = 0 0 + -1n = -3 + 12 -1n = -3 + 12 Combine like terms: -3 + 12 = 9 -1n = 9 Divide each side by '-1'. n = -9 Simplifying n = -9
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