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Simplifying (2n + -18) * 3 = (2n + -24) * 4 Reorder the terms: (-18 + 2n) * 3 = (2n + -24) * 4 Reorder the terms for easier multiplication: 3(-18 + 2n) = (2n + -24) * 4 (-18 * 3 + 2n * 3) = (2n + -24) * 4 (-54 + 6n) = (2n + -24) * 4 Reorder the terms: -54 + 6n = (-24 + 2n) * 4 Reorder the terms for easier multiplication: -54 + 6n = 4(-24 + 2n) -54 + 6n = (-24 * 4 + 2n * 4) -54 + 6n = (-96 + 8n) Solving -54 + 6n = -96 + 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. -54 + 6n + -8n = -96 + 8n + -8n Combine like terms: 6n + -8n = -2n -54 + -2n = -96 + 8n + -8n Combine like terms: 8n + -8n = 0 -54 + -2n = -96 + 0 -54 + -2n = -96 Add '54' to each side of the equation. -54 + 54 + -2n = -96 + 54 Combine like terms: -54 + 54 = 0 0 + -2n = -96 + 54 -2n = -96 + 54 Combine like terms: -96 + 54 = -42 -2n = -42 Divide each side by '-2'. n = 21 Simplifying n = 21
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