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Simplifying 5(2f + -4) = 7(f + 3) + 1 Reorder the terms: 5(-4 + 2f) = 7(f + 3) + 1 (-4 * 5 + 2f * 5) = 7(f + 3) + 1 (-20 + 10f) = 7(f + 3) + 1 Reorder the terms: -20 + 10f = 7(3 + f) + 1 -20 + 10f = (3 * 7 + f * 7) + 1 -20 + 10f = (21 + 7f) + 1 Reorder the terms: -20 + 10f = 21 + 1 + 7f Combine like terms: 21 + 1 = 22 -20 + 10f = 22 + 7f Solving -20 + 10f = 22 + 7f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-7f' to each side of the equation. -20 + 10f + -7f = 22 + 7f + -7f Combine like terms: 10f + -7f = 3f -20 + 3f = 22 + 7f + -7f Combine like terms: 7f + -7f = 0 -20 + 3f = 22 + 0 -20 + 3f = 22 Add '20' to each side of the equation. -20 + 20 + 3f = 22 + 20 Combine like terms: -20 + 20 = 0 0 + 3f = 22 + 20 3f = 22 + 20 Combine like terms: 22 + 20 = 42 3f = 42 Divide each side by '3'. f = 14 Simplifying f = 14
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