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Simplifying 23 + 6f = 8(4f + -3) Reorder the terms: 23 + 6f = 8(-3 + 4f) 23 + 6f = (-3 * 8 + 4f * 8) 23 + 6f = (-24 + 32f) Solving 23 + 6f = -24 + 32f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-32f' to each side of the equation. 23 + 6f + -32f = -24 + 32f + -32f Combine like terms: 6f + -32f = -26f 23 + -26f = -24 + 32f + -32f Combine like terms: 32f + -32f = 0 23 + -26f = -24 + 0 23 + -26f = -24 Add '-23' to each side of the equation. 23 + -23 + -26f = -24 + -23 Combine like terms: 23 + -23 = 0 0 + -26f = -24 + -23 -26f = -24 + -23 Combine like terms: -24 + -23 = -47 -26f = -47 Divide each side by '-26'. f = 1.807692308 Simplifying f = 1.807692308
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