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Simplifying -4(8n + 3) = -12 + 7n Reorder the terms: -4(3 + 8n) = -12 + 7n (3 * -4 + 8n * -4) = -12 + 7n (-12 + -32n) = -12 + 7n Add '12' to each side of the equation. -12 + 12 + -32n = -12 + 12 + 7n Combine like terms: -12 + 12 = 0 0 + -32n = -12 + 12 + 7n -32n = -12 + 12 + 7n Combine like terms: -12 + 12 = 0 -32n = 0 + 7n -32n = 7n Solving -32n = 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. -32n + -7n = 7n + -7n Combine like terms: -32n + -7n = -39n -39n = 7n + -7n Combine like terms: 7n + -7n = 0 -39n = 0 Divide each side by '-39'. n = 0 Simplifying n = 0
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