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Simplifying -70 = 8(2 + -4n) + 2(1 + -6n) -70 = (2 * 8 + -4n * 8) + 2(1 + -6n) -70 = (16 + -32n) + 2(1 + -6n) -70 = 16 + -32n + (1 * 2 + -6n * 2) -70 = 16 + -32n + (2 + -12n) Reorder the terms: -70 = 16 + 2 + -32n + -12n Combine like terms: 16 + 2 = 18 -70 = 18 + -32n + -12n Combine like terms: -32n + -12n = -44n -70 = 18 + -44n Solving -70 = 18 + -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. -70 + 44n = 18 + -44n + 44n Combine like terms: -44n + 44n = 0 -70 + 44n = 18 + 0 -70 + 44n = 18 Add '70' to each side of the equation. -70 + 70 + 44n = 18 + 70 Combine like terms: -70 + 70 = 0 0 + 44n = 18 + 70 44n = 18 + 70 Combine like terms: 18 + 70 = 88 44n = 88 Divide each side by '44'. n = 2 Simplifying n = 2
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