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Simplifying 8(2f + -2) = 5(2f + 2) Reorder the terms: 8(-2 + 2f) = 5(2f + 2) (-2 * 8 + 2f * 8) = 5(2f + 2) (-16 + 16f) = 5(2f + 2) Reorder the terms: -16 + 16f = 5(2 + 2f) -16 + 16f = (2 * 5 + 2f * 5) -16 + 16f = (10 + 10f) Solving -16 + 16f = 10 + 10f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-10f' to each side of the equation. -16 + 16f + -10f = 10 + 10f + -10f Combine like terms: 16f + -10f = 6f -16 + 6f = 10 + 10f + -10f Combine like terms: 10f + -10f = 0 -16 + 6f = 10 + 0 -16 + 6f = 10 Add '16' to each side of the equation. -16 + 16 + 6f = 10 + 16 Combine like terms: -16 + 16 = 0 0 + 6f = 10 + 16 6f = 10 + 16 Combine like terms: 10 + 16 = 26 6f = 26 Divide each side by '6'. f = 4.333333333 Simplifying f = 4.333333333
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