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Simplifying 5(2f + -6) + -2f = -2(f + -5) Reorder the terms: 5(-6 + 2f) + -2f = -2(f + -5) (-6 * 5 + 2f * 5) + -2f = -2(f + -5) (-30 + 10f) + -2f = -2(f + -5) Combine like terms: 10f + -2f = 8f -30 + 8f = -2(f + -5) Reorder the terms: -30 + 8f = -2(-5 + f) -30 + 8f = (-5 * -2 + f * -2) -30 + 8f = (10 + -2f) Solving -30 + 8f = 10 + -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. -30 + 8f + 2f = 10 + -2f + 2f Combine like terms: 8f + 2f = 10f -30 + 10f = 10 + -2f + 2f Combine like terms: -2f + 2f = 0 -30 + 10f = 10 + 0 -30 + 10f = 10 Add '30' to each side of the equation. -30 + 30 + 10f = 10 + 30 Combine like terms: -30 + 30 = 0 0 + 10f = 10 + 30 10f = 10 + 30 Combine like terms: 10 + 30 = 40 10f = 40 Divide each side by '10'. f = 4 Simplifying f = 4
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