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Simplifying 8n + 4(4x + -3) = 4(6x + 4) + -4 Reorder the terms: 8n + 4(-3 + 4x) = 4(6x + 4) + -4 8n + (-3 * 4 + 4x * 4) = 4(6x + 4) + -4 8n + (-12 + 16x) = 4(6x + 4) + -4 Reorder the terms: -12 + 8n + 16x = 4(6x + 4) + -4 Reorder the terms: -12 + 8n + 16x = 4(4 + 6x) + -4 -12 + 8n + 16x = (4 * 4 + 6x * 4) + -4 -12 + 8n + 16x = (16 + 24x) + -4 Reorder the terms: -12 + 8n + 16x = 16 + -4 + 24x Combine like terms: 16 + -4 = 12 -12 + 8n + 16x = 12 + 24x Solving -12 + 8n + 16x = 12 + 24x Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 8n + 12 + 16x = 12 + 12 + 24x Reorder the terms: -12 + 12 + 8n + 16x = 12 + 12 + 24x Combine like terms: -12 + 12 = 0 0 + 8n + 16x = 12 + 12 + 24x 8n + 16x = 12 + 12 + 24x Combine like terms: 12 + 12 = 24 8n + 16x = 24 + 24x Add '-16x' to each side of the equation. 8n + 16x + -16x = 24 + 24x + -16x Combine like terms: 16x + -16x = 0 8n + 0 = 24 + 24x + -16x 8n = 24 + 24x + -16x Combine like terms: 24x + -16x = 8x 8n = 24 + 8x Divide each side by '8'. n = 3 + x Simplifying n = 3 + x
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