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Simplifying 7n + 21 = -7(7 + -6n) Reorder the terms: 21 + 7n = -7(7 + -6n) 21 + 7n = (7 * -7 + -6n * -7) 21 + 7n = (-49 + 42n) Solving 21 + 7n = -49 + 42n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-42n' to each side of the equation. 21 + 7n + -42n = -49 + 42n + -42n Combine like terms: 7n + -42n = -35n 21 + -35n = -49 + 42n + -42n Combine like terms: 42n + -42n = 0 21 + -35n = -49 + 0 21 + -35n = -49 Add '-21' to each side of the equation. 21 + -21 + -35n = -49 + -21 Combine like terms: 21 + -21 = 0 0 + -35n = -49 + -21 -35n = -49 + -21 Combine like terms: -49 + -21 = -70 -35n = -70 Divide each side by '-35'. n = 2 Simplifying n = 2
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