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Simplifying 2(5n + -2) + -4(2n + 3) = 0 Reorder the terms: 2(-2 + 5n) + -4(2n + 3) = 0 (-2 * 2 + 5n * 2) + -4(2n + 3) = 0 (-4 + 10n) + -4(2n + 3) = 0 Reorder the terms: -4 + 10n + -4(3 + 2n) = 0 -4 + 10n + (3 * -4 + 2n * -4) = 0 -4 + 10n + (-12 + -8n) = 0 Reorder the terms: -4 + -12 + 10n + -8n = 0 Combine like terms: -4 + -12 = -16 -16 + 10n + -8n = 0 Combine like terms: 10n + -8n = 2n -16 + 2n = 0 Solving -16 + 2n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 2n = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 2n = 0 + 16 2n = 0 + 16 Combine like terms: 0 + 16 = 16 2n = 16 Divide each side by '2'. n = 8 Simplifying n = 8
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