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Simplifying -32 = -4(-2 + n) + 8(6 + -5n) -32 = (-2 * -4 + n * -4) + 8(6 + -5n) -32 = (8 + -4n) + 8(6 + -5n) -32 = 8 + -4n + (6 * 8 + -5n * 8) -32 = 8 + -4n + (48 + -40n) Reorder the terms: -32 = 8 + 48 + -4n + -40n Combine like terms: 8 + 48 = 56 -32 = 56 + -4n + -40n Combine like terms: -4n + -40n = -44n -32 = 56 + -44n Solving -32 = 56 + -44n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '44n' to each side of the equation. -32 + 44n = 56 + -44n + 44n Combine like terms: -44n + 44n = 0 -32 + 44n = 56 + 0 -32 + 44n = 56 Add '32' to each side of the equation. -32 + 32 + 44n = 56 + 32 Combine like terms: -32 + 32 = 0 0 + 44n = 56 + 32 44n = 56 + 32 Combine like terms: 56 + 32 = 88 44n = 88 Divide each side by '44'. n = 2 Simplifying n = 2
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