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Simplifying -2(3 + 4n) + -5n = n + -34 (3 * -2 + 4n * -2) + -5n = n + -34 (-6 + -8n) + -5n = n + -34 Combine like terms: -8n + -5n = -13n -6 + -13n = n + -34 Reorder the terms: -6 + -13n = -34 + n Solving -6 + -13n = -34 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. -6 + -13n + -1n = -34 + n + -1n Combine like terms: -13n + -1n = -14n -6 + -14n = -34 + n + -1n Combine like terms: n + -1n = 0 -6 + -14n = -34 + 0 -6 + -14n = -34 Add '6' to each side of the equation. -6 + 6 + -14n = -34 + 6 Combine like terms: -6 + 6 = 0 0 + -14n = -34 + 6 -14n = -34 + 6 Combine like terms: -34 + 6 = -28 -14n = -28 Divide each side by '-14'. n = 2 Simplifying n = 2
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