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Simplifying -5(1 + -8n) + 6(-4 + -7n) = -35 (1 * -5 + -8n * -5) + 6(-4 + -7n) = -35 (-5 + 40n) + 6(-4 + -7n) = -35 -5 + 40n + (-4 * 6 + -7n * 6) = -35 -5 + 40n + (-24 + -42n) = -35 Reorder the terms: -5 + -24 + 40n + -42n = -35 Combine like terms: -5 + -24 = -29 -29 + 40n + -42n = -35 Combine like terms: 40n + -42n = -2n -29 + -2n = -35 Solving -29 + -2n = -35 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '29' to each side of the equation. -29 + 29 + -2n = -35 + 29 Combine like terms: -29 + 29 = 0 0 + -2n = -35 + 29 -2n = -35 + 29 Combine like terms: -35 + 29 = -6 -2n = -6 Divide each side by '-2'. n = 3 Simplifying n = 3
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