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