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Simplifying 21 + -2n = 5(6n + 7) Reorder the terms: 21 + -2n = 5(7 + 6n) 21 + -2n = (7 * 5 + 6n * 5) 21 + -2n = (35 + 30n) Solving 21 + -2n = 35 + 30n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-30n' to each side of the equation. 21 + -2n + -30n = 35 + 30n + -30n Combine like terms: -2n + -30n = -32n 21 + -32n = 35 + 30n + -30n Combine like terms: 30n + -30n = 0 21 + -32n = 35 + 0 21 + -32n = 35 Add '-21' to each side of the equation. 21 + -21 + -32n = 35 + -21 Combine like terms: 21 + -21 = 0 0 + -32n = 35 + -21 -32n = 35 + -21 Combine like terms: 35 + -21 = 14 -32n = 14 Divide each side by '-32'. n = -0.4375 Simplifying n = -0.4375
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