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Simplifying 2n + 21 + 5n = -2(n + -4) + 7n + -35 Reorder the terms: 21 + 2n + 5n = -2(n + -4) + 7n + -35 Combine like terms: 2n + 5n = 7n 21 + 7n = -2(n + -4) + 7n + -35 Reorder the terms: 21 + 7n = -2(-4 + n) + 7n + -35 21 + 7n = (-4 * -2 + n * -2) + 7n + -35 21 + 7n = (8 + -2n) + 7n + -35 Reorder the terms: 21 + 7n = 8 + -35 + -2n + 7n Combine like terms: 8 + -35 = -27 21 + 7n = -27 + -2n + 7n Combine like terms: -2n + 7n = 5n 21 + 7n = -27 + 5n Solving 21 + 7n = -27 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 21 + 7n + -5n = -27 + 5n + -5n Combine like terms: 7n + -5n = 2n 21 + 2n = -27 + 5n + -5n Combine like terms: 5n + -5n = 0 21 + 2n = -27 + 0 21 + 2n = -27 Add '-21' to each side of the equation. 21 + -21 + 2n = -27 + -21 Combine like terms: 21 + -21 = 0 0 + 2n = -27 + -21 2n = -27 + -21 Combine like terms: -27 + -21 = -48 2n = -48 Divide each side by '2'. n = -24 Simplifying n = -24
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