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Simplifying 9f + -1 = 4(2f + -1) + -4(-5 + f) Reorder the terms: -1 + 9f = 4(2f + -1) + -4(-5 + f) Reorder the terms: -1 + 9f = 4(-1 + 2f) + -4(-5 + f) -1 + 9f = (-1 * 4 + 2f * 4) + -4(-5 + f) -1 + 9f = (-4 + 8f) + -4(-5 + f) -1 + 9f = -4 + 8f + (-5 * -4 + f * -4) -1 + 9f = -4 + 8f + (20 + -4f) Reorder the terms: -1 + 9f = -4 + 20 + 8f + -4f Combine like terms: -4 + 20 = 16 -1 + 9f = 16 + 8f + -4f Combine like terms: 8f + -4f = 4f -1 + 9f = 16 + 4f Solving -1 + 9f = 16 + 4f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-4f' to each side of the equation. -1 + 9f + -4f = 16 + 4f + -4f Combine like terms: 9f + -4f = 5f -1 + 5f = 16 + 4f + -4f Combine like terms: 4f + -4f = 0 -1 + 5f = 16 + 0 -1 + 5f = 16 Add '1' to each side of the equation. -1 + 1 + 5f = 16 + 1 Combine like terms: -1 + 1 = 0 0 + 5f = 16 + 1 5f = 16 + 1 Combine like terms: 16 + 1 = 17 5f = 17 Divide each side by '5'. f = 3.4 Simplifying f = 3.4
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