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Simplifying -6n + -7(1n + -3) = 35 + -6n Reorder the terms: -6n + -7(-3 + 1n) = 35 + -6n -6n + (-3 * -7 + 1n * -7) = 35 + -6n -6n + (21 + -7n) = 35 + -6n Reorder the terms: 21 + -6n + -7n = 35 + -6n Combine like terms: -6n + -7n = -13n 21 + -13n = 35 + -6n Solving 21 + -13n = 35 + -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. 21 + -13n + 6n = 35 + -6n + 6n Combine like terms: -13n + 6n = -7n 21 + -7n = 35 + -6n + 6n Combine like terms: -6n + 6n = 0 21 + -7n = 35 + 0 21 + -7n = 35 Add '-21' to each side of the equation. 21 + -21 + -7n = 35 + -21 Combine like terms: 21 + -21 = 0 0 + -7n = 35 + -21 -7n = 35 + -21 Combine like terms: 35 + -21 = 14 -7n = 14 Divide each side by '-7'. n = -2 Simplifying n = -2
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