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Simplifying 33 + 4(2n + -12) = 1 Reorder the terms: 33 + 4(-12 + 2n) = 1 33 + (-12 * 4 + 2n * 4) = 1 33 + (-48 + 8n) = 1 Combine like terms: 33 + -48 = -15 -15 + 8n = 1 Solving -15 + 8n = 1 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 8n = 1 + 15 Combine like terms: -15 + 15 = 0 0 + 8n = 1 + 15 8n = 1 + 15 Combine like terms: 1 + 15 = 16 8n = 16 Divide each side by '8'. n = 2 Simplifying n = 2
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