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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 = 12 -8f = 12 Divide each side by '-8'. f = -1.5 Simplifying f = -1.5
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