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Simplifying -1(1 + -5n) + -7n = 8 + 2(3n + -4) (1 * -1 + -5n * -1) + -7n = 8 + 2(3n + -4) (-1 + 5n) + -7n = 8 + 2(3n + -4) Combine like terms: 5n + -7n = -2n -1 + -2n = 8 + 2(3n + -4) Reorder the terms: -1 + -2n = 8 + 2(-4 + 3n) -1 + -2n = 8 + (-4 * 2 + 3n * 2) -1 + -2n = 8 + (-8 + 6n) Combine like terms: 8 + -8 = 0 -1 + -2n = 0 + 6n -1 + -2n = 6n Solving -1 + -2n = 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. -1 + -2n + -6n = 6n + -6n Combine like terms: -2n + -6n = -8n -1 + -8n = 6n + -6n Combine like terms: 6n + -6n = 0 -1 + -8n = 0 Add '1' to each side of the equation. -1 + 1 + -8n = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -8n = 0 + 1 -8n = 0 + 1 Combine like terms: 0 + 1 = 1 -8n = 1 Divide each side by '-8'. n = -0.125 Simplifying n = -0.125
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