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Simplifying -6f + 13 = 2f + -114 Reorder the terms: 13 + -6f = 2f + -114 Reorder the terms: 13 + -6f = -114 + 2f Solving 13 + -6f = -114 + 2f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-2f' to each side of the equation. 13 + -6f + -2f = -114 + 2f + -2f Combine like terms: -6f + -2f = -8f 13 + -8f = -114 + 2f + -2f Combine like terms: 2f + -2f = 0 13 + -8f = -114 + 0 13 + -8f = -114 Add '-13' to each side of the equation. 13 + -13 + -8f = -114 + -13 Combine like terms: 13 + -13 = 0 0 + -8f = -114 + -13 -8f = -114 + -13 Combine like terms: -114 + -13 = -127 -8f = -127 Divide each side by '-8'. f = 15.875 Simplifying f = 15.875
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