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Simplifying 6(-12f + 8) = 4(16 + -20f) Reorder the terms: 6(8 + -12f) = 4(16 + -20f) (8 * 6 + -12f * 6) = 4(16 + -20f) (48 + -72f) = 4(16 + -20f) 48 + -72f = (16 * 4 + -20f * 4) 48 + -72f = (64 + -80f) Solving 48 + -72f = 64 + -80f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '80f' to each side of the equation. 48 + -72f + 80f = 64 + -80f + 80f Combine like terms: -72f + 80f = 8f 48 + 8f = 64 + -80f + 80f Combine like terms: -80f + 80f = 0 48 + 8f = 64 + 0 48 + 8f = 64 Add '-48' to each side of the equation. 48 + -48 + 8f = 64 + -48 Combine like terms: 48 + -48 = 0 0 + 8f = 64 + -48 8f = 64 + -48 Combine like terms: 64 + -48 = 16 8f = 16 Divide each side by '8'. f = 2 Simplifying f = 2
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