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Simplifying 6(f + -9) = 4(f + -5) Reorder the terms: 6(-9 + f) = 4(f + -5) (-9 * 6 + f * 6) = 4(f + -5) (-54 + 6f) = 4(f + -5) Reorder the terms: -54 + 6f = 4(-5 + f) -54 + 6f = (-5 * 4 + f * 4) -54 + 6f = (-20 + 4f) Solving -54 + 6f = -20 + 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. -54 + 6f + -4f = -20 + 4f + -4f Combine like terms: 6f + -4f = 2f -54 + 2f = -20 + 4f + -4f Combine like terms: 4f + -4f = 0 -54 + 2f = -20 + 0 -54 + 2f = -20 Add '54' to each side of the equation. -54 + 54 + 2f = -20 + 54 Combine like terms: -54 + 54 = 0 0 + 2f = -20 + 54 2f = -20 + 54 Combine like terms: -20 + 54 = 34 2f = 34 Divide each side by '2'. f = 17 Simplifying f = 17
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