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Simplifying 7(f + 1) = 10f + -21 Reorder the terms: 7(1 + f) = 10f + -21 (1 * 7 + f * 7) = 10f + -21 (7 + 7f) = 10f + -21 Reorder the terms: 7 + 7f = -21 + 10f Solving 7 + 7f = -21 + 10f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-10f' to each side of the equation. 7 + 7f + -10f = -21 + 10f + -10f Combine like terms: 7f + -10f = -3f 7 + -3f = -21 + 10f + -10f Combine like terms: 10f + -10f = 0 7 + -3f = -21 + 0 7 + -3f = -21 Add '-7' to each side of the equation. 7 + -7 + -3f = -21 + -7 Combine like terms: 7 + -7 = 0 0 + -3f = -21 + -7 -3f = -21 + -7 Combine like terms: -21 + -7 = -28 -3f = -28 Divide each side by '-3'. f = 9.333333333 Simplifying f = 9.333333333
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