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Simplifying -34 + 5n = -8(-1n + 5) Reorder the terms: -34 + 5n = -8(5 + -1n) -34 + 5n = (5 * -8 + -1n * -8) -34 + 5n = (-40 + 8n) Solving -34 + 5n = -40 + 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. -34 + 5n + -8n = -40 + 8n + -8n Combine like terms: 5n + -8n = -3n -34 + -3n = -40 + 8n + -8n Combine like terms: 8n + -8n = 0 -34 + -3n = -40 + 0 -34 + -3n = -40 Add '34' to each side of the equation. -34 + 34 + -3n = -40 + 34 Combine like terms: -34 + 34 = 0 0 + -3n = -40 + 34 -3n = -40 + 34 Combine like terms: -40 + 34 = -6 -3n = -6 Divide each side by '-3'. n = 2 Simplifying n = 2
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