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Simplifying -3(f + -8) + -1(f + 5) = 23 Reorder the terms: -3(-8 + f) + -1(f + 5) = 23 (-8 * -3 + f * -3) + -1(f + 5) = 23 (24 + -3f) + -1(f + 5) = 23 Reorder the terms: 24 + -3f + -1(5 + f) = 23 24 + -3f + (5 * -1 + f * -1) = 23 24 + -3f + (-5 + -1f) = 23 Reorder the terms: 24 + -5 + -3f + -1f = 23 Combine like terms: 24 + -5 = 19 19 + -3f + -1f = 23 Combine like terms: -3f + -1f = -4f 19 + -4f = 23 Solving 19 + -4f = 23 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + -4f = 23 + -19 Combine like terms: 19 + -19 = 0 0 + -4f = 23 + -19 -4f = 23 + -19 Combine like terms: 23 + -19 = 4 -4f = 4 Divide each side by '-4'. f = -1 Simplifying f = -1
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