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Simplifying 5(2f + 6) = 5f + -9 Reorder the terms: 5(6 + 2f) = 5f + -9 (6 * 5 + 2f * 5) = 5f + -9 (30 + 10f) = 5f + -9 Reorder the terms: 30 + 10f = -9 + 5f Solving 30 + 10f = -9 + 5f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-5f' to each side of the equation. 30 + 10f + -5f = -9 + 5f + -5f Combine like terms: 10f + -5f = 5f 30 + 5f = -9 + 5f + -5f Combine like terms: 5f + -5f = 0 30 + 5f = -9 + 0 30 + 5f = -9 Add '-30' to each side of the equation. 30 + -30 + 5f = -9 + -30 Combine like terms: 30 + -30 = 0 0 + 5f = -9 + -30 5f = -9 + -30 Combine like terms: -9 + -30 = -39 5f = -39 Divide each side by '5'. f = -7.8 Simplifying f = -7.8
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