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Simplifying 3f + 8(20f + -1) = -9f + -5 + -3 Reorder the terms: 3f + 8(-1 + 20f) = -9f + -5 + -3 3f + (-1 * 8 + 20f * 8) = -9f + -5 + -3 3f + (-8 + 160f) = -9f + -5 + -3 Reorder the terms: -8 + 3f + 160f = -9f + -5 + -3 Combine like terms: 3f + 160f = 163f -8 + 163f = -9f + -5 + -3 Reorder the terms: -8 + 163f = -5 + -3 + -9f Combine like terms: -5 + -3 = -8 -8 + 163f = -8 + -9f Add '8' to each side of the equation. -8 + 8 + 163f = -8 + 8 + -9f Combine like terms: -8 + 8 = 0 0 + 163f = -8 + 8 + -9f 163f = -8 + 8 + -9f Combine like terms: -8 + 8 = 0 163f = 0 + -9f 163f = -9f Solving 163f = -9f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '9f' to each side of the equation. 163f + 9f = -9f + 9f Combine like terms: 163f + 9f = 172f 172f = -9f + 9f Combine like terms: -9f + 9f = 0 172f = 0 Divide each side by '172'. f = 0 Simplifying f = 0
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