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Simplifying -44 = -4(1 + n) + -6(8n + -2) -44 = (1 * -4 + n * -4) + -6(8n + -2) -44 = (-4 + -4n) + -6(8n + -2) Reorder the terms: -44 = -4 + -4n + -6(-2 + 8n) -44 = -4 + -4n + (-2 * -6 + 8n * -6) -44 = -4 + -4n + (12 + -48n) Reorder the terms: -44 = -4 + 12 + -4n + -48n Combine like terms: -4 + 12 = 8 -44 = 8 + -4n + -48n Combine like terms: -4n + -48n = -52n -44 = 8 + -52n Solving -44 = 8 + -52n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '52n' to each side of the equation. -44 + 52n = 8 + -52n + 52n Combine like terms: -52n + 52n = 0 -44 + 52n = 8 + 0 -44 + 52n = 8 Add '44' to each side of the equation. -44 + 44 + 52n = 8 + 44 Combine like terms: -44 + 44 = 0 0 + 52n = 8 + 44 52n = 8 + 44 Combine like terms: 8 + 44 = 52 52n = 52 Divide each side by '52'. n = 1 Simplifying n = 1
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