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Simplifying 100 = 7f + 5(-1 + -7f) + 1 100 = 7f + (-1 * 5 + -7f * 5) + 1 100 = 7f + (-5 + -35f) + 1 Reorder the terms: 100 = -5 + 1 + 7f + -35f Combine like terms: -5 + 1 = -4 100 = -4 + 7f + -35f Combine like terms: 7f + -35f = -28f 100 = -4 + -28f Solving 100 = -4 + -28f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '28f' to each side of the equation. 100 + 28f = -4 + -28f + 28f Combine like terms: -28f + 28f = 0 100 + 28f = -4 + 0 100 + 28f = -4 Add '-100' to each side of the equation. 100 + -100 + 28f = -4 + -100 Combine like terms: 100 + -100 = 0 0 + 28f = -4 + -100 28f = -4 + -100 Combine like terms: -4 + -100 = -104 28f = -104 Divide each side by '28'. f = -3.714285714 Simplifying f = -3.714285714
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