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Simplifying -34 + 8n = 5n + 7(n + -2) Reorder the terms: -34 + 8n = 5n + 7(-2 + n) -34 + 8n = 5n + (-2 * 7 + n * 7) -34 + 8n = 5n + (-14 + 7n) Reorder the terms: -34 + 8n = -14 + 5n + 7n Combine like terms: 5n + 7n = 12n -34 + 8n = -14 + 12n Solving -34 + 8n = -14 + 12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12n' to each side of the equation. -34 + 8n + -12n = -14 + 12n + -12n Combine like terms: 8n + -12n = -4n -34 + -4n = -14 + 12n + -12n Combine like terms: 12n + -12n = 0 -34 + -4n = -14 + 0 -34 + -4n = -14 Add '34' to each side of the equation. -34 + 34 + -4n = -14 + 34 Combine like terms: -34 + 34 = 0 0 + -4n = -14 + 34 -4n = -14 + 34 Combine like terms: -14 + 34 = 20 -4n = 20 Divide each side by '-4'. n = -5 Simplifying n = -5
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