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Simplifying 5(2f + -2) = 4(3f + -5) Reorder the terms: 5(-2 + 2f) = 4(3f + -5) (-2 * 5 + 2f * 5) = 4(3f + -5) (-10 + 10f) = 4(3f + -5) Reorder the terms: -10 + 10f = 4(-5 + 3f) -10 + 10f = (-5 * 4 + 3f * 4) -10 + 10f = (-20 + 12f) Solving -10 + 10f = -20 + 12f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-12f' to each side of the equation. -10 + 10f + -12f = -20 + 12f + -12f Combine like terms: 10f + -12f = -2f -10 + -2f = -20 + 12f + -12f Combine like terms: 12f + -12f = 0 -10 + -2f = -20 + 0 -10 + -2f = -20 Add '10' to each side of the equation. -10 + 10 + -2f = -20 + 10 Combine like terms: -10 + 10 = 0 0 + -2f = -20 + 10 -2f = -20 + 10 Combine like terms: -20 + 10 = -10 -2f = -10 Divide each side by '-2'. f = 5 Simplifying f = 5
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