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Simplifying 64(f + -1) = 5(6f + -6) Reorder the terms: 64(-1 + f) = 5(6f + -6) (-1 * 64 + f * 64) = 5(6f + -6) (-64 + 64f) = 5(6f + -6) Reorder the terms: -64 + 64f = 5(-6 + 6f) -64 + 64f = (-6 * 5 + 6f * 5) -64 + 64f = (-30 + 30f) Solving -64 + 64f = -30 + 30f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-30f' to each side of the equation. -64 + 64f + -30f = -30 + 30f + -30f Combine like terms: 64f + -30f = 34f -64 + 34f = -30 + 30f + -30f Combine like terms: 30f + -30f = 0 -64 + 34f = -30 + 0 -64 + 34f = -30 Add '64' to each side of the equation. -64 + 64 + 34f = -30 + 64 Combine like terms: -64 + 64 = 0 0 + 34f = -30 + 64 34f = -30 + 64 Combine like terms: -30 + 64 = 34 34f = 34 Divide each side by '34'. f = 1 Simplifying f = 1
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