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Simplifying 2.6f + -1.3(3f + -4) = 6.5 Reorder the terms: 2.6f + -1.3(-4 + 3f) = 6.5 2.6f + (-4 * -1.3 + 3f * -1.3) = 6.5 2.6f + (5.2 + -3.9f) = 6.5 Reorder the terms: 5.2 + 2.6f + -3.9f = 6.5 Combine like terms: 2.6f + -3.9f = -1.3f 5.2 + -1.3f = 6.5 Solving 5.2 + -1.3f = 6.5 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-5.2' to each side of the equation. 5.2 + -5.2 + -1.3f = 6.5 + -5.2 Combine like terms: 5.2 + -5.2 = 0.0 0.0 + -1.3f = 6.5 + -5.2 -1.3f = 6.5 + -5.2 Combine like terms: 6.5 + -5.2 = 1.3 -1.3f = 1.3 Divide each side by '-1.3'. f = -1 Simplifying f = -1
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