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Simplifying 5(2f + 3) = 6f + -5 Reorder the terms: 5(3 + 2f) = 6f + -5 (3 * 5 + 2f * 5) = 6f + -5 (15 + 10f) = 6f + -5 Reorder the terms: 15 + 10f = -5 + 6f Solving 15 + 10f = -5 + 6f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-6f' to each side of the equation. 15 + 10f + -6f = -5 + 6f + -6f Combine like terms: 10f + -6f = 4f 15 + 4f = -5 + 6f + -6f Combine like terms: 6f + -6f = 0 15 + 4f = -5 + 0 15 + 4f = -5 Add '-15' to each side of the equation. 15 + -15 + 4f = -5 + -15 Combine like terms: 15 + -15 = 0 0 + 4f = -5 + -15 4f = -5 + -15 Combine like terms: -5 + -15 = -20 4f = -20 Divide each side by '4'. f = -5 Simplifying f = -5
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