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Simplifying 12 + -10n = 6(8n + 2) Reorder the terms: 12 + -10n = 6(2 + 8n) 12 + -10n = (2 * 6 + 8n * 6) 12 + -10n = (12 + 48n) Add '-12' to each side of the equation. 12 + -12 + -10n = 12 + -12 + 48n Combine like terms: 12 + -12 = 0 0 + -10n = 12 + -12 + 48n -10n = 12 + -12 + 48n Combine like terms: 12 + -12 = 0 -10n = 0 + 48n -10n = 48n Solving -10n = 48n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-48n' to each side of the equation. -10n + -48n = 48n + -48n Combine like terms: -10n + -48n = -58n -58n = 48n + -48n Combine like terms: 48n + -48n = 0 -58n = 0 Divide each side by '-58'. n = 0 Simplifying n = 0
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