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Simplifying 4(8n + -6) = 6(-8 + 5n) + 10n Reorder the terms: 4(-6 + 8n) = 6(-8 + 5n) + 10n (-6 * 4 + 8n * 4) = 6(-8 + 5n) + 10n (-24 + 32n) = 6(-8 + 5n) + 10n -24 + 32n = (-8 * 6 + 5n * 6) + 10n -24 + 32n = (-48 + 30n) + 10n Combine like terms: 30n + 10n = 40n -24 + 32n = -48 + 40n Solving -24 + 32n = -48 + 40n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-40n' to each side of the equation. -24 + 32n + -40n = -48 + 40n + -40n Combine like terms: 32n + -40n = -8n -24 + -8n = -48 + 40n + -40n Combine like terms: 40n + -40n = 0 -24 + -8n = -48 + 0 -24 + -8n = -48 Add '24' to each side of the equation. -24 + 24 + -8n = -48 + 24 Combine like terms: -24 + 24 = 0 0 + -8n = -48 + 24 -8n = -48 + 24 Combine like terms: -48 + 24 = -24 -8n = -24 Divide each side by '-8'. n = 3 Simplifying n = 3
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