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Simplifying 4(2f + 5) + 4 = 3(5f + -6) Reorder the terms: 4(5 + 2f) + 4 = 3(5f + -6) (5 * 4 + 2f * 4) + 4 = 3(5f + -6) (20 + 8f) + 4 = 3(5f + -6) Reorder the terms: 20 + 4 + 8f = 3(5f + -6) Combine like terms: 20 + 4 = 24 24 + 8f = 3(5f + -6) Reorder the terms: 24 + 8f = 3(-6 + 5f) 24 + 8f = (-6 * 3 + 5f * 3) 24 + 8f = (-18 + 15f) Solving 24 + 8f = -18 + 15f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-15f' to each side of the equation. 24 + 8f + -15f = -18 + 15f + -15f Combine like terms: 8f + -15f = -7f 24 + -7f = -18 + 15f + -15f Combine like terms: 15f + -15f = 0 24 + -7f = -18 + 0 24 + -7f = -18 Add '-24' to each side of the equation. 24 + -24 + -7f = -18 + -24 Combine like terms: 24 + -24 = 0 0 + -7f = -18 + -24 -7f = -18 + -24 Combine like terms: -18 + -24 = -42 -7f = -42 Divide each side by '-7'. f = 6 Simplifying f = 6
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