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Simplifying -5(1 + -5f) + 5(-8f + -2) = -4f + -8f (1 * -5 + -5f * -5) + 5(-8f + -2) = -4f + -8f (-5 + 25f) + 5(-8f + -2) = -4f + -8f Reorder the terms: -5 + 25f + 5(-2 + -8f) = -4f + -8f -5 + 25f + (-2 * 5 + -8f * 5) = -4f + -8f -5 + 25f + (-10 + -40f) = -4f + -8f Reorder the terms: -5 + -10 + 25f + -40f = -4f + -8f Combine like terms: -5 + -10 = -15 -15 + 25f + -40f = -4f + -8f Combine like terms: 25f + -40f = -15f -15 + -15f = -4f + -8f Combine like terms: -4f + -8f = -12f -15 + -15f = -12f Solving -15 + -15f = -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. -15 + -15f + 12f = -12f + 12f Combine like terms: -15f + 12f = -3f -15 + -3f = -12f + 12f Combine like terms: -12f + 12f = 0 -15 + -3f = 0 Add '15' to each side of the equation. -15 + 15 + -3f = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -3f = 0 + 15 -3f = 0 + 15 Combine like terms: 0 + 15 = 15 -3f = 15 Divide each side by '-3'. f = -5 Simplifying f = -5
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