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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 = 34 34 + -12n + 2n = 36 Combine like terms: -12n + 2n = -10n 34 + -10n = 36 Solving 34 + -10n = 36 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-34' to each side of the equation. 34 + -34 + -10n = 36 + -34 Combine like terms: 34 + -34 = 0 0 + -10n = 36 + -34 -10n = 36 + -34 Combine like terms: 36 + -34 = 2 -10n = 2 Divide each side by '-10'. n = -0.2 Simplifying n = -0.2
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