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Simplifying -5(f + -2) = 3f + 2 Reorder the terms: -5(-2 + f) = 3f + 2 (-2 * -5 + f * -5) = 3f + 2 (10 + -5f) = 3f + 2 Reorder the terms: 10 + -5f = 2 + 3f Solving 10 + -5f = 2 + 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 = 2 + 3f + -3f Combine like terms: -5f + -3f = -8f 10 + -8f = 2 + 3f + -3f Combine like terms: 3f + -3f = 0 10 + -8f = 2 + 0 10 + -8f = 2 Add '-10' to each side of the equation. 10 + -10 + -8f = 2 + -10 Combine like terms: 10 + -10 = 0 0 + -8f = 2 + -10 -8f = 2 + -10 Combine like terms: 2 + -10 = -8 -8f = -8 Divide each side by '-8'. f = 1 Simplifying f = 1
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