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Simplifying 4(f + -5) + -3 = 2f + -3 Reorder the terms: 4(-5 + f) + -3 = 2f + -3 (-5 * 4 + f * 4) + -3 = 2f + -3 (-20 + 4f) + -3 = 2f + -3 Reorder the terms: -20 + -3 + 4f = 2f + -3 Combine like terms: -20 + -3 = -23 -23 + 4f = 2f + -3 Reorder the terms: -23 + 4f = -3 + 2f Solving -23 + 4f = -3 + 2f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-2f' to each side of the equation. -23 + 4f + -2f = -3 + 2f + -2f Combine like terms: 4f + -2f = 2f -23 + 2f = -3 + 2f + -2f Combine like terms: 2f + -2f = 0 -23 + 2f = -3 + 0 -23 + 2f = -3 Add '23' to each side of the equation. -23 + 23 + 2f = -3 + 23 Combine like terms: -23 + 23 = 0 0 + 2f = -3 + 23 2f = -3 + 23 Combine like terms: -3 + 23 = 20 2f = 20 Divide each side by '2'. f = 10 Simplifying f = 10
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