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Simplifying 6(-13f + -20) = 20 + 20 + 2f Reorder the terms: 6(-20 + -13f) = 20 + 20 + 2f (-20 * 6 + -13f * 6) = 20 + 20 + 2f (-120 + -78f) = 20 + 20 + 2f Combine like terms: 20 + 20 = 40 -120 + -78f = 40 + 2f Solving -120 + -78f = 40 + 2f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-2f' to each side of the equation. -120 + -78f + -2f = 40 + 2f + -2f Combine like terms: -78f + -2f = -80f -120 + -80f = 40 + 2f + -2f Combine like terms: 2f + -2f = 0 -120 + -80f = 40 + 0 -120 + -80f = 40 Add '120' to each side of the equation. -120 + 120 + -80f = 40 + 120 Combine like terms: -120 + 120 = 0 0 + -80f = 40 + 120 -80f = 40 + 120 Combine like terms: 40 + 120 = 160 -80f = 160 Divide each side by '-80'. f = -2 Simplifying f = -2
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