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Simplifying -3(n + 4) + -7(4n + -2) = -29 Reorder the terms: -3(4 + n) + -7(4n + -2) = -29 (4 * -3 + n * -3) + -7(4n + -2) = -29 (-12 + -3n) + -7(4n + -2) = -29 Reorder the terms: -12 + -3n + -7(-2 + 4n) = -29 -12 + -3n + (-2 * -7 + 4n * -7) = -29 -12 + -3n + (14 + -28n) = -29 Reorder the terms: -12 + 14 + -3n + -28n = -29 Combine like terms: -12 + 14 = 2 2 + -3n + -28n = -29 Combine like terms: -3n + -28n = -31n 2 + -31n = -29 Solving 2 + -31n = -29 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -31n = -29 + -2 Combine like terms: 2 + -2 = 0 0 + -31n = -29 + -2 -31n = -29 + -2 Combine like terms: -29 + -2 = -31 -31n = -31 Divide each side by '-31'. n = 1 Simplifying n = 1
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