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Simplifying 8n + -34 = -7(1 + -5n) Reorder the terms: -34 + 8n = -7(1 + -5n) -34 + 8n = (1 * -7 + -5n * -7) -34 + 8n = (-7 + 35n) Solving -34 + 8n = -7 + 35n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-35n' to each side of the equation. -34 + 8n + -35n = -7 + 35n + -35n Combine like terms: 8n + -35n = -27n -34 + -27n = -7 + 35n + -35n Combine like terms: 35n + -35n = 0 -34 + -27n = -7 + 0 -34 + -27n = -7 Add '34' to each side of the equation. -34 + 34 + -27n = -7 + 34 Combine like terms: -34 + 34 = 0 0 + -27n = -7 + 34 -27n = -7 + 34 Combine like terms: -7 + 34 = 27 -27n = 27 Divide each side by '-27'. n = -1 Simplifying n = -1
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