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Simplifying 5(f + -13) + 2(f + -25) = 11 Reorder the terms: 5(-13 + f) + 2(f + -25) = 11 (-13 * 5 + f * 5) + 2(f + -25) = 11 (-65 + 5f) + 2(f + -25) = 11 Reorder the terms: -65 + 5f + 2(-25 + f) = 11 -65 + 5f + (-25 * 2 + f * 2) = 11 -65 + 5f + (-50 + 2f) = 11 Reorder the terms: -65 + -50 + 5f + 2f = 11 Combine like terms: -65 + -50 = -115 -115 + 5f + 2f = 11 Combine like terms: 5f + 2f = 7f -115 + 7f = 11 Solving -115 + 7f = 11 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '115' to each side of the equation. -115 + 115 + 7f = 11 + 115 Combine like terms: -115 + 115 = 0 0 + 7f = 11 + 115 7f = 11 + 115 Combine like terms: 11 + 115 = 126 7f = 126 Divide each side by '7'. f = 18 Simplifying f = 18
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