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Simplifying 5n + 52 = -2(1 + -7n) Reorder the terms: 52 + 5n = -2(1 + -7n) 52 + 5n = (1 * -2 + -7n * -2) 52 + 5n = (-2 + 14n) Solving 52 + 5n = -2 + 14n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-14n' to each side of the equation. 52 + 5n + -14n = -2 + 14n + -14n Combine like terms: 5n + -14n = -9n 52 + -9n = -2 + 14n + -14n Combine like terms: 14n + -14n = 0 52 + -9n = -2 + 0 52 + -9n = -2 Add '-52' to each side of the equation. 52 + -52 + -9n = -2 + -52 Combine like terms: 52 + -52 = 0 0 + -9n = -2 + -52 -9n = -2 + -52 Combine like terms: -2 + -52 = -54 -9n = -54 Divide each side by '-9'. n = 6 Simplifying n = 6
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