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Simplifying 19f + 38 = 7f + -20 + 5f + -5 Reorder the terms: 38 + 19f = 7f + -20 + 5f + -5 Reorder the terms: 38 + 19f = -20 + -5 + 7f + 5f Combine like terms: -20 + -5 = -25 38 + 19f = -25 + 7f + 5f Combine like terms: 7f + 5f = 12f 38 + 19f = -25 + 12f Solving 38 + 19f = -25 + 12f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-12f' to each side of the equation. 38 + 19f + -12f = -25 + 12f + -12f Combine like terms: 19f + -12f = 7f 38 + 7f = -25 + 12f + -12f Combine like terms: 12f + -12f = 0 38 + 7f = -25 + 0 38 + 7f = -25 Add '-38' to each side of the equation. 38 + -38 + 7f = -25 + -38 Combine like terms: 38 + -38 = 0 0 + 7f = -25 + -38 7f = -25 + -38 Combine like terms: -25 + -38 = -63 7f = -63 Divide each side by '7'. f = -9 Simplifying f = -9
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