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Simplifying (2n + -9) * 4 = 10n + -8 Reorder the terms: (-9 + 2n) * 4 = 10n + -8 Reorder the terms for easier multiplication: 4(-9 + 2n) = 10n + -8 (-9 * 4 + 2n * 4) = 10n + -8 (-36 + 8n) = 10n + -8 Reorder the terms: -36 + 8n = -8 + 10n Solving -36 + 8n = -8 + 10n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-10n' to each side of the equation. -36 + 8n + -10n = -8 + 10n + -10n Combine like terms: 8n + -10n = -2n -36 + -2n = -8 + 10n + -10n Combine like terms: 10n + -10n = 0 -36 + -2n = -8 + 0 -36 + -2n = -8 Add '36' to each side of the equation. -36 + 36 + -2n = -8 + 36 Combine like terms: -36 + 36 = 0 0 + -2n = -8 + 36 -2n = -8 + 36 Combine like terms: -8 + 36 = 28 -2n = 28 Divide each side by '-2'. n = -14 Simplifying n = -14
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