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Simplifying 7(f + -1) + 10 = 45 Reorder the terms: 7(-1 + f) + 10 = 45 (-1 * 7 + f * 7) + 10 = 45 (-7 + 7f) + 10 = 45 Reorder the terms: -7 + 10 + 7f = 45 Combine like terms: -7 + 10 = 3 3 + 7f = 45 Solving 3 + 7f = 45 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 7f = 45 + -3 Combine like terms: 3 + -3 = 0 0 + 7f = 45 + -3 7f = 45 + -3 Combine like terms: 45 + -3 = 42 7f = 42 Divide each side by '7'. f = 6 Simplifying f = 6
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