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Simplifying -70 = -2(n + 5) + 7(4 + -6n) Reorder the terms: -70 = -2(5 + n) + 7(4 + -6n) -70 = (5 * -2 + n * -2) + 7(4 + -6n) -70 = (-10 + -2n) + 7(4 + -6n) -70 = -10 + -2n + (4 * 7 + -6n * 7) -70 = -10 + -2n + (28 + -42n) Reorder the terms: -70 = -10 + 28 + -2n + -42n Combine like terms: -10 + 28 = 18 -70 = 18 + -2n + -42n Combine like terms: -2n + -42n = -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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