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Simplifying -35 + 7n = -6(n + 8) Reorder the terms: -35 + 7n = -6(8 + n) -35 + 7n = (8 * -6 + n * -6) -35 + 7n = (-48 + -6n) Solving -35 + 7n = -48 + -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. -35 + 7n + 6n = -48 + -6n + 6n Combine like terms: 7n + 6n = 13n -35 + 13n = -48 + -6n + 6n Combine like terms: -6n + 6n = 0 -35 + 13n = -48 + 0 -35 + 13n = -48 Add '35' to each side of the equation. -35 + 35 + 13n = -48 + 35 Combine like terms: -35 + 35 = 0 0 + 13n = -48 + 35 13n = -48 + 35 Combine like terms: -48 + 35 = -13 13n = -13 Divide each side by '13'. n = -1 Simplifying n = -1
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