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Simplifying -6(2n + -7) + 2(n + 4) = -36 Reorder the terms: -6(-7 + 2n) + 2(n + 4) = -36 (-7 * -6 + 2n * -6) + 2(n + 4) = -36 (42 + -12n) + 2(n + 4) = -36 Reorder the terms: 42 + -12n + 2(4 + n) = -36 42 + -12n + (4 * 2 + n * 2) = -36 42 + -12n + (8 + 2n) = -36 Reorder the terms: 42 + 8 + -12n + 2n = -36 Combine like terms: 42 + 8 = 50 50 + -12n + 2n = -36 Combine like terms: -12n + 2n = -10n 50 + -10n = -36 Solving 50 + -10n = -36 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + -50 + -10n = -36 + -50 Combine like terms: 50 + -50 = 0 0 + -10n = -36 + -50 -10n = -36 + -50 Combine like terms: -36 + -50 = -86 -10n = -86 Divide each side by '-10'. n = 8.6 Simplifying n = 8.6
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