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Simplifying -1(5 + -2f) + -1(8 + -3f) = 22 (5 * -1 + -2f * -1) + -1(8 + -3f) = 22 (-5 + 2f) + -1(8 + -3f) = 22 -5 + 2f + (8 * -1 + -3f * -1) = 22 -5 + 2f + (-8 + 3f) = 22 Reorder the terms: -5 + -8 + 2f + 3f = 22 Combine like terms: -5 + -8 = -13 -13 + 2f + 3f = 22 Combine like terms: 2f + 3f = 5f -13 + 5f = 22 Solving -13 + 5f = 22 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 5f = 22 + 13 Combine like terms: -13 + 13 = 0 0 + 5f = 22 + 13 5f = 22 + 13 Combine like terms: 22 + 13 = 35 5f = 35 Divide each side by '5'. f = 7 Simplifying f = 7
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