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Simplifying 2(4f + 2g) * 2 = 8f + 2g Reorder the terms for easier multiplication: 2 * 2(4f + 2g) = 8f + 2g Multiply 2 * 2 4(4f + 2g) = 8f + 2g (4f * 4 + 2g * 4) = 8f + 2g (16f + 8g) = 8f + 2g Solving 16f + 8g = 8f + 2g Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-8f' to each side of the equation. 16f + -8f + 8g = 8f + -8f + 2g Combine like terms: 16f + -8f = 8f 8f + 8g = 8f + -8f + 2g Combine like terms: 8f + -8f = 0 8f + 8g = 0 + 2g 8f + 8g = 2g Add '-8g' to each side of the equation. 8f + 8g + -8g = 2g + -8g Combine like terms: 8g + -8g = 0 8f + 0 = 2g + -8g 8f = 2g + -8g Combine like terms: 2g + -8g = -6g 8f = -6g Divide each side by '8'. f = -0.75g Simplifying f = -0.75g
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