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Simplifying -34 + 8n = 6(2n + -3) + -4 Reorder the terms: -34 + 8n = 6(-3 + 2n) + -4 -34 + 8n = (-3 * 6 + 2n * 6) + -4 -34 + 8n = (-18 + 12n) + -4 Reorder the terms: -34 + 8n = -18 + -4 + 12n Combine like terms: -18 + -4 = -22 -34 + 8n = -22 + 12n Solving -34 + 8n = -22 + 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 = -22 + 12n + -12n Combine like terms: 8n + -12n = -4n -34 + -4n = -22 + 12n + -12n Combine like terms: 12n + -12n = 0 -34 + -4n = -22 + 0 -34 + -4n = -22 Add '34' to each side of the equation. -34 + 34 + -4n = -22 + 34 Combine like terms: -34 + 34 = 0 0 + -4n = -22 + 34 -4n = -22 + 34 Combine like terms: -22 + 34 = 12 -4n = 12 Divide each side by '-4'. n = -3 Simplifying n = -3
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