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Simplifying (5n + 7) * 3 = -1n + -11 Reorder the terms: (7 + 5n) * 3 = -1n + -11 Reorder the terms for easier multiplication: 3(7 + 5n) = -1n + -11 (7 * 3 + 5n * 3) = -1n + -11 (21 + 15n) = -1n + -11 Reorder the terms: 21 + 15n = -11 + -1n Solving 21 + 15n = -11 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. 21 + 15n + n = -11 + -1n + n Combine like terms: 15n + n = 16n 21 + 16n = -11 + -1n + n Combine like terms: -1n + n = 0 21 + 16n = -11 + 0 21 + 16n = -11 Add '-21' to each side of the equation. 21 + -21 + 16n = -11 + -21 Combine like terms: 21 + -21 = 0 0 + 16n = -11 + -21 16n = -11 + -21 Combine like terms: -11 + -21 = -32 16n = -32 Divide each side by '16'. n = -2 Simplifying n = -2
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