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Simplifying 3f + -30 = 5f + 12 Reorder the terms: -30 + 3f = 5f + 12 Reorder the terms: -30 + 3f = 12 + 5f Solving -30 + 3f = 12 + 5f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-5f' to each side of the equation. -30 + 3f + -5f = 12 + 5f + -5f Combine like terms: 3f + -5f = -2f -30 + -2f = 12 + 5f + -5f Combine like terms: 5f + -5f = 0 -30 + -2f = 12 + 0 -30 + -2f = 12 Add '30' to each side of the equation. -30 + 30 + -2f = 12 + 30 Combine like terms: -30 + 30 = 0 0 + -2f = 12 + 30 -2f = 12 + 30 Combine like terms: 12 + 30 = 42 -2f = 42 Divide each side by '-2'. f = -21 Simplifying f = -21
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