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Simplifying 3f + -7 = 5f + 19 Reorder the terms: -7 + 3f = 5f + 19 Reorder the terms: -7 + 3f = 19 + 5f Solving -7 + 3f = 19 + 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. -7 + 3f + -5f = 19 + 5f + -5f Combine like terms: 3f + -5f = -2f -7 + -2f = 19 + 5f + -5f Combine like terms: 5f + -5f = 0 -7 + -2f = 19 + 0 -7 + -2f = 19 Add '7' to each side of the equation. -7 + 7 + -2f = 19 + 7 Combine like terms: -7 + 7 = 0 0 + -2f = 19 + 7 -2f = 19 + 7 Combine like terms: 19 + 7 = 26 -2f = 26 Divide each side by '-2'. f = -13 Simplifying f = -13
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