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Simplifying 8(2f + -3) = 7(3f + 2) Reorder the terms: 8(-3 + 2f) = 7(3f + 2) (-3 * 8 + 2f * 8) = 7(3f + 2) (-24 + 16f) = 7(3f + 2) Reorder the terms: -24 + 16f = 7(2 + 3f) -24 + 16f = (2 * 7 + 3f * 7) -24 + 16f = (14 + 21f) Solving -24 + 16f = 14 + 21f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-21f' to each side of the equation. -24 + 16f + -21f = 14 + 21f + -21f Combine like terms: 16f + -21f = -5f -24 + -5f = 14 + 21f + -21f Combine like terms: 21f + -21f = 0 -24 + -5f = 14 + 0 -24 + -5f = 14 Add '24' to each side of the equation. -24 + 24 + -5f = 14 + 24 Combine like terms: -24 + 24 = 0 0 + -5f = 14 + 24 -5f = 14 + 24 Combine like terms: 14 + 24 = 38 -5f = 38 Divide each side by '-5'. f = -7.6 Simplifying f = -7.6
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