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Simplifying 9f + -1 = 4(2f + -1) + -3(-5 + f) Reorder the terms: -1 + 9f = 4(2f + -1) + -3(-5 + f) Reorder the terms: -1 + 9f = 4(-1 + 2f) + -3(-5 + f) -1 + 9f = (-1 * 4 + 2f * 4) + -3(-5 + f) -1 + 9f = (-4 + 8f) + -3(-5 + f) -1 + 9f = -4 + 8f + (-5 * -3 + f * -3) -1 + 9f = -4 + 8f + (15 + -3f) Reorder the terms: -1 + 9f = -4 + 15 + 8f + -3f Combine like terms: -4 + 15 = 11 -1 + 9f = 11 + 8f + -3f Combine like terms: 8f + -3f = 5f -1 + 9f = 11 + 5f Solving -1 + 9f = 11 + 5f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-5f' to each side of the equation. -1 + 9f + -5f = 11 + 5f + -5f Combine like terms: 9f + -5f = 4f -1 + 4f = 11 + 5f + -5f Combine like terms: 5f + -5f = 0 -1 + 4f = 11 + 0 -1 + 4f = 11 Add '1' to each side of the equation. -1 + 1 + 4f = 11 + 1 Combine like terms: -1 + 1 = 0 0 + 4f = 11 + 1 4f = 11 + 1 Combine like terms: 11 + 1 = 12 4f = 12 Divide each side by '4'. f = 3 Simplifying f = 3
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