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Simplifying 10(2f + -3) = 4f + -8 Reorder the terms: 10(-3 + 2f) = 4f + -8 (-3 * 10 + 2f * 10) = 4f + -8 (-30 + 20f) = 4f + -8 Reorder the terms: -30 + 20f = -8 + 4f Solving -30 + 20f = -8 + 4f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-4f' to each side of the equation. -30 + 20f + -4f = -8 + 4f + -4f Combine like terms: 20f + -4f = 16f -30 + 16f = -8 + 4f + -4f Combine like terms: 4f + -4f = 0 -30 + 16f = -8 + 0 -30 + 16f = -8 Add '30' to each side of the equation. -30 + 30 + 16f = -8 + 30 Combine like terms: -30 + 30 = 0 0 + 16f = -8 + 30 16f = -8 + 30 Combine like terms: -8 + 30 = 22 16f = 22 Divide each side by '16'. f = 1.375 Simplifying f = 1.375
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