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Simplifying 5(f + -2) = 3(f + -8) Reorder the terms: 5(-2 + f) = 3(f + -8) (-2 * 5 + f * 5) = 3(f + -8) (-10 + 5f) = 3(f + -8) Reorder the terms: -10 + 5f = 3(-8 + f) -10 + 5f = (-8 * 3 + f * 3) -10 + 5f = (-24 + 3f) Solving -10 + 5f = -24 + 3f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-3f' to each side of the equation. -10 + 5f + -3f = -24 + 3f + -3f Combine like terms: 5f + -3f = 2f -10 + 2f = -24 + 3f + -3f Combine like terms: 3f + -3f = 0 -10 + 2f = -24 + 0 -10 + 2f = -24 Add '10' to each side of the equation. -10 + 10 + 2f = -24 + 10 Combine like terms: -10 + 10 = 0 0 + 2f = -24 + 10 2f = -24 + 10 Combine like terms: -24 + 10 = -14 2f = -14 Divide each side by '2'. f = -7 Simplifying f = -7
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