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Simplifying 6(10f + -3) = 3(6f + 1) Reorder the terms: 6(-3 + 10f) = 3(6f + 1) (-3 * 6 + 10f * 6) = 3(6f + 1) (-18 + 60f) = 3(6f + 1) Reorder the terms: -18 + 60f = 3(1 + 6f) -18 + 60f = (1 * 3 + 6f * 3) -18 + 60f = (3 + 18f) Solving -18 + 60f = 3 + 18f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-18f' to each side of the equation. -18 + 60f + -18f = 3 + 18f + -18f Combine like terms: 60f + -18f = 42f -18 + 42f = 3 + 18f + -18f Combine like terms: 18f + -18f = 0 -18 + 42f = 3 + 0 -18 + 42f = 3 Add '18' to each side of the equation. -18 + 18 + 42f = 3 + 18 Combine like terms: -18 + 18 = 0 0 + 42f = 3 + 18 42f = 3 + 18 Combine like terms: 3 + 18 = 21 42f = 21 Divide each side by '42'. f = 0.5 Simplifying f = 0.5
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