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Simplifying 12 + -3f + 15 = -13 + 7f Reorder the terms: 12 + 15 + -3f = -13 + 7f Combine like terms: 12 + 15 = 27 27 + -3f = -13 + 7f Solving 27 + -3f = -13 + 7f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-7f' to each side of the equation. 27 + -3f + -7f = -13 + 7f + -7f Combine like terms: -3f + -7f = -10f 27 + -10f = -13 + 7f + -7f Combine like terms: 7f + -7f = 0 27 + -10f = -13 + 0 27 + -10f = -13 Add '-27' to each side of the equation. 27 + -27 + -10f = -13 + -27 Combine like terms: 27 + -27 = 0 0 + -10f = -13 + -27 -10f = -13 + -27 Combine like terms: -13 + -27 = -40 -10f = -40 Divide each side by '-10'. f = 4 Simplifying f = 4
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