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Simplifying f(2) + g(2) = 6(2) + g(2) + 7 Reorder the terms for easier multiplication: 2f + g(2) = 6(2) + g(2) + 7 Reorder the terms for easier multiplication: 2f + 2g = 6(2) + g(2) + 7 Multiply 6 * 2 2f + 2g = 12 + g(2) + 7 Reorder the terms for easier multiplication: 2f + 2g = 12 + 2g + 7 Reorder the terms: 2f + 2g = 12 + 7 + 2g Combine like terms: 12 + 7 = 19 2f + 2g = 19 + 2g Add '-2g' to each side of the equation. 2f + 2g + -2g = 19 + 2g + -2g Combine like terms: 2g + -2g = 0 2f + 0 = 19 + 2g + -2g 2f = 19 + 2g + -2g Combine like terms: 2g + -2g = 0 2f = 19 + 0 2f = 19 Solving 2f = 19 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Divide each side by '2'. f = 9.5 Simplifying f = 9.5
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