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Simplifying -32 + -7n = n + 7(7 + -5n) -32 + -7n = n + (7 * 7 + -5n * 7) -32 + -7n = n + (49 + -35n) Reorder the terms: -32 + -7n = 49 + n + -35n Combine like terms: n + -35n = -34n -32 + -7n = 49 + -34n Solving -32 + -7n = 49 + -34n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '34n' to each side of the equation. -32 + -7n + 34n = 49 + -34n + 34n Combine like terms: -7n + 34n = 27n -32 + 27n = 49 + -34n + 34n Combine like terms: -34n + 34n = 0 -32 + 27n = 49 + 0 -32 + 27n = 49 Add '32' to each side of the equation. -32 + 32 + 27n = 49 + 32 Combine like terms: -32 + 32 = 0 0 + 27n = 49 + 32 27n = 49 + 32 Combine like terms: 49 + 32 = 81 27n = 81 Divide each side by '27'. n = 3 Simplifying n = 3
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