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Simplifying (f + g)(7) = 0 Reorder the terms for easier multiplication: 7(f + g) = 0 (f * 7 + g * 7) = 0 (7f + 7g) = 0 Solving 7f + 7g = 0 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-7g' to each side of the equation. 7f + 7g + -7g = 0 + -7g Combine like terms: 7g + -7g = 0 7f + 0 = 0 + -7g 7f = 0 + -7g Remove the zero: 7f = -7g Divide each side by '7'. f = -1g Simplifying f = -1g
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