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Simplifying 4n(2) + -3 = -2n(2) + 9 Reorder the terms for easier multiplication: 4 * 2n + -3 = -2n(2) + 9 Multiply 4 * 2 8n + -3 = -2n(2) + 9 Reorder the terms: -3 + 8n = -2n(2) + 9 Reorder the terms for easier multiplication: -3 + 8n = -2 * 2n + 9 Multiply -2 * 2 -3 + 8n = -4n + 9 Reorder the terms: -3 + 8n = 9 + -4n Solving -3 + 8n = 9 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. -3 + 8n + 4n = 9 + -4n + 4n Combine like terms: 8n + 4n = 12n -3 + 12n = 9 + -4n + 4n Combine like terms: -4n + 4n = 0 -3 + 12n = 9 + 0 -3 + 12n = 9 Add '3' to each side of the equation. -3 + 3 + 12n = 9 + 3 Combine like terms: -3 + 3 = 0 0 + 12n = 9 + 3 12n = 9 + 3 Combine like terms: 9 + 3 = 12 12n = 12 Divide each side by '12'. n = 1 Simplifying n = 1
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