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Simplifying -4(5n + 2) = -6(-8 + 8n) Reorder the terms: -4(2 + 5n) = -6(-8 + 8n) (2 * -4 + 5n * -4) = -6(-8 + 8n) (-8 + -20n) = -6(-8 + 8n) -8 + -20n = (-8 * -6 + 8n * -6) -8 + -20n = (48 + -48n) Solving -8 + -20n = 48 + -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. -8 + -20n + 48n = 48 + -48n + 48n Combine like terms: -20n + 48n = 28n -8 + 28n = 48 + -48n + 48n Combine like terms: -48n + 48n = 0 -8 + 28n = 48 + 0 -8 + 28n = 48 Add '8' to each side of the equation. -8 + 8 + 28n = 48 + 8 Combine like terms: -8 + 8 = 0 0 + 28n = 48 + 8 28n = 48 + 8 Combine like terms: 48 + 8 = 56 28n = 56 Divide each side by '28'. n = 2 Simplifying n = 2
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