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Simplifying -17 + -6f = -4(5f + -8) Reorder the terms: -17 + -6f = -4(-8 + 5f) -17 + -6f = (-8 * -4 + 5f * -4) -17 + -6f = (32 + -20f) Solving -17 + -6f = 32 + -20f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '20f' to each side of the equation. -17 + -6f + 20f = 32 + -20f + 20f Combine like terms: -6f + 20f = 14f -17 + 14f = 32 + -20f + 20f Combine like terms: -20f + 20f = 0 -17 + 14f = 32 + 0 -17 + 14f = 32 Add '17' to each side of the equation. -17 + 17 + 14f = 32 + 17 Combine like terms: -17 + 17 = 0 0 + 14f = 32 + 17 14f = 32 + 17 Combine like terms: 32 + 17 = 49 14f = 49 Divide each side by '14'. f = 3.5 Simplifying f = 3.5
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