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Simplifying 6f + 30 = 4f + 10 Reorder the terms: 30 + 6f = 4f + 10 Reorder the terms: 30 + 6f = 10 + 4f Solving 30 + 6f = 10 + 4f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-4f' to each side of the equation. 30 + 6f + -4f = 10 + 4f + -4f Combine like terms: 6f + -4f = 2f 30 + 2f = 10 + 4f + -4f Combine like terms: 4f + -4f = 0 30 + 2f = 10 + 0 30 + 2f = 10 Add '-30' to each side of the equation. 30 + -30 + 2f = 10 + -30 Combine like terms: 30 + -30 = 0 0 + 2f = 10 + -30 2f = 10 + -30 Combine like terms: 10 + -30 = -20 2f = -20 Divide each side by '2'. f = -10 Simplifying f = -10
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