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Simplifying -13f + -4(-3f + 13) = -5f + 20 Reorder the terms: -13f + -4(13 + -3f) = -5f + 20 -13f + (13 * -4 + -3f * -4) = -5f + 20 -13f + (-52 + 12f) = -5f + 20 Reorder the terms: -52 + -13f + 12f = -5f + 20 Combine like terms: -13f + 12f = -1f -52 + -1f = -5f + 20 Reorder the terms: -52 + -1f = 20 + -5f Solving -52 + -1f = 20 + -5f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '5f' to each side of the equation. -52 + -1f + 5f = 20 + -5f + 5f Combine like terms: -1f + 5f = 4f -52 + 4f = 20 + -5f + 5f Combine like terms: -5f + 5f = 0 -52 + 4f = 20 + 0 -52 + 4f = 20 Add '52' to each side of the equation. -52 + 52 + 4f = 20 + 52 Combine like terms: -52 + 52 = 0 0 + 4f = 20 + 52 4f = 20 + 52 Combine like terms: 20 + 52 = 72 4f = 72 Divide each side by '4'. f = 18 Simplifying f = 18
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