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Simplifying 21.5 = 2.5 + 2(f + -7.5) Reorder the terms: 21.5 = 2.5 + 2(-7.5 + f) 21.5 = 2.5 + (-7.5 * 2 + f * 2) 21.5 = 2.5 + (-15 + 2f) Combine like terms: 2.5 + -15 = -12.5 21.5 = -12.5 + 2f Solving 21.5 = -12.5 + 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. 21.5 + -2f = -12.5 + 2f + -2f Combine like terms: 2f + -2f = 0 21.5 + -2f = -12.5 + 0 21.5 + -2f = -12.5 Add '-21.5' to each side of the equation. 21.5 + -21.5 + -2f = -12.5 + -21.5 Combine like terms: 21.5 + -21.5 = 0.0 0.0 + -2f = -12.5 + -21.5 -2f = -12.5 + -21.5 Combine like terms: -12.5 + -21.5 = -34 -2f = -34 Divide each side by '-2'. f = 17 Simplifying f = 17
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