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Simplifying 4(2f + -5) = 3f + 10 Reorder the terms: 4(-5 + 2f) = 3f + 10 (-5 * 4 + 2f * 4) = 3f + 10 (-20 + 8f) = 3f + 10 Reorder the terms: -20 + 8f = 10 + 3f Solving -20 + 8f = 10 + 3f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-3f' to each side of the equation. -20 + 8f + -3f = 10 + 3f + -3f Combine like terms: 8f + -3f = 5f -20 + 5f = 10 + 3f + -3f Combine like terms: 3f + -3f = 0 -20 + 5f = 10 + 0 -20 + 5f = 10 Add '20' to each side of the equation. -20 + 20 + 5f = 10 + 20 Combine like terms: -20 + 20 = 0 0 + 5f = 10 + 20 5f = 10 + 20 Combine like terms: 10 + 20 = 30 5f = 30 Divide each side by '5'. f = 6 Simplifying f = 6
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