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Simplifying -4n + 8 = 6(-7n + -5) Reorder the terms: 8 + -4n = 6(-7n + -5) Reorder the terms: 8 + -4n = 6(-5 + -7n) 8 + -4n = (-5 * 6 + -7n * 6) 8 + -4n = (-30 + -42n) Solving 8 + -4n = -30 + -42n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '42n' to each side of the equation. 8 + -4n + 42n = -30 + -42n + 42n Combine like terms: -4n + 42n = 38n 8 + 38n = -30 + -42n + 42n Combine like terms: -42n + 42n = 0 8 + 38n = -30 + 0 8 + 38n = -30 Add '-8' to each side of the equation. 8 + -8 + 38n = -30 + -8 Combine like terms: 8 + -8 = 0 0 + 38n = -30 + -8 38n = -30 + -8 Combine like terms: -30 + -8 = -38 38n = -38 Divide each side by '38'. n = -1 Simplifying n = -1
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