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Simplifying -8 + 2(5n + -3) = -2(-1n + 8) + 6 Reorder the terms: -8 + 2(-3 + 5n) = -2(-1n + 8) + 6 -8 + (-3 * 2 + 5n * 2) = -2(-1n + 8) + 6 -8 + (-6 + 10n) = -2(-1n + 8) + 6 Combine like terms: -8 + -6 = -14 -14 + 10n = -2(-1n + 8) + 6 Reorder the terms: -14 + 10n = -2(8 + -1n) + 6 -14 + 10n = (8 * -2 + -1n * -2) + 6 -14 + 10n = (-16 + 2n) + 6 Reorder the terms: -14 + 10n = -16 + 6 + 2n Combine like terms: -16 + 6 = -10 -14 + 10n = -10 + 2n Solving -14 + 10n = -10 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. -14 + 10n + -2n = -10 + 2n + -2n Combine like terms: 10n + -2n = 8n -14 + 8n = -10 + 2n + -2n Combine like terms: 2n + -2n = 0 -14 + 8n = -10 + 0 -14 + 8n = -10 Add '14' to each side of the equation. -14 + 14 + 8n = -10 + 14 Combine like terms: -14 + 14 = 0 0 + 8n = -10 + 14 8n = -10 + 14 Combine like terms: -10 + 14 = 4 8n = 4 Divide each side by '8'. n = 0.5 Simplifying n = 0.5
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