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Simplifying -8n + -18 = -3(-8 + 7n) + -8n Reorder the terms: -18 + -8n = -3(-8 + 7n) + -8n -18 + -8n = (-8 * -3 + 7n * -3) + -8n -18 + -8n = (24 + -21n) + -8n Combine like terms: -21n + -8n = -29n -18 + -8n = 24 + -29n Solving -18 + -8n = 24 + -29n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '29n' to each side of the equation. -18 + -8n + 29n = 24 + -29n + 29n Combine like terms: -8n + 29n = 21n -18 + 21n = 24 + -29n + 29n Combine like terms: -29n + 29n = 0 -18 + 21n = 24 + 0 -18 + 21n = 24 Add '18' to each side of the equation. -18 + 18 + 21n = 24 + 18 Combine like terms: -18 + 18 = 0 0 + 21n = 24 + 18 21n = 24 + 18 Combine like terms: 24 + 18 = 42 21n = 42 Divide each side by '21'. n = 2 Simplifying n = 2
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