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Simplifying -3 + -7(2n + 3) = 3(1 + -4n) + 3 Reorder the terms: -3 + -7(3 + 2n) = 3(1 + -4n) + 3 -3 + (3 * -7 + 2n * -7) = 3(1 + -4n) + 3 -3 + (-21 + -14n) = 3(1 + -4n) + 3 Combine like terms: -3 + -21 = -24 -24 + -14n = 3(1 + -4n) + 3 -24 + -14n = (1 * 3 + -4n * 3) + 3 -24 + -14n = (3 + -12n) + 3 Reorder the terms: -24 + -14n = 3 + 3 + -12n Combine like terms: 3 + 3 = 6 -24 + -14n = 6 + -12n Solving -24 + -14n = 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. -24 + -14n + 12n = 6 + -12n + 12n Combine like terms: -14n + 12n = -2n -24 + -2n = 6 + -12n + 12n Combine like terms: -12n + 12n = 0 -24 + -2n = 6 + 0 -24 + -2n = 6 Add '24' to each side of the equation. -24 + 24 + -2n = 6 + 24 Combine like terms: -24 + 24 = 0 0 + -2n = 6 + 24 -2n = 6 + 24 Combine like terms: 6 + 24 = 30 -2n = 30 Divide each side by '-2'. n = -15 Simplifying n = -15
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