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Simplifying -8 + 2(-2n + -7) = 6(-8n + -4) + -6 Reorder the terms: -8 + 2(-7 + -2n) = 6(-8n + -4) + -6 -8 + (-7 * 2 + -2n * 2) = 6(-8n + -4) + -6 -8 + (-14 + -4n) = 6(-8n + -4) + -6 Combine like terms: -8 + -14 = -22 -22 + -4n = 6(-8n + -4) + -6 Reorder the terms: -22 + -4n = 6(-4 + -8n) + -6 -22 + -4n = (-4 * 6 + -8n * 6) + -6 -22 + -4n = (-24 + -48n) + -6 Reorder the terms: -22 + -4n = -24 + -6 + -48n Combine like terms: -24 + -6 = -30 -22 + -4n = -30 + -48n Solving -22 + -4n = -30 + -48n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '48n' to each side of the equation. -22 + -4n + 48n = -30 + -48n + 48n Combine like terms: -4n + 48n = 44n -22 + 44n = -30 + -48n + 48n Combine like terms: -48n + 48n = 0 -22 + 44n = -30 + 0 -22 + 44n = -30 Add '22' to each side of the equation. -22 + 22 + 44n = -30 + 22 Combine like terms: -22 + 22 = 0 0 + 44n = -30 + 22 44n = -30 + 22 Combine like terms: -30 + 22 = -8 44n = -8 Divide each side by '44'. n = -0.1818181818 Simplifying n = -0.1818181818
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