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Simplifying -3(4 + -3n) + -7(n + 1) = -19 (4 * -3 + -3n * -3) + -7(n + 1) = -19 (-12 + 9n) + -7(n + 1) = -19 Reorder the terms: -12 + 9n + -7(1 + n) = -19 -12 + 9n + (1 * -7 + n * -7) = -19 -12 + 9n + (-7 + -7n) = -19 Reorder the terms: -12 + -7 + 9n + -7n = -19 Combine like terms: -12 + -7 = -19 -19 + 9n + -7n = -19 Combine like terms: 9n + -7n = 2n -19 + 2n = -19 Add '19' to each side of the equation. -19 + 19 + 2n = -19 + 19 Combine like terms: -19 + 19 = 0 0 + 2n = -19 + 19 2n = -19 + 19 Combine like terms: -19 + 19 = 0 2n = 0 Solving 2n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Divide each side by '2'. n = 0 Simplifying n = 0
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