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Simplifying -5(1 + 8n) = -6 + -7(5n + -8) (1 * -5 + 8n * -5) = -6 + -7(5n + -8) (-5 + -40n) = -6 + -7(5n + -8) Reorder the terms: -5 + -40n = -6 + -7(-8 + 5n) -5 + -40n = -6 + (-8 * -7 + 5n * -7) -5 + -40n = -6 + (56 + -35n) Combine like terms: -6 + 56 = 50 -5 + -40n = 50 + -35n Solving -5 + -40n = 50 + -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. -5 + -40n + 35n = 50 + -35n + 35n Combine like terms: -40n + 35n = -5n -5 + -5n = 50 + -35n + 35n Combine like terms: -35n + 35n = 0 -5 + -5n = 50 + 0 -5 + -5n = 50 Add '5' to each side of the equation. -5 + 5 + -5n = 50 + 5 Combine like terms: -5 + 5 = 0 0 + -5n = 50 + 5 -5n = 50 + 5 Combine like terms: 50 + 5 = 55 -5n = 55 Divide each side by '-5'. n = -11 Simplifying n = -11
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