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Simplifying f + -9(5) = 11 + -1f(-3) Multiply -9 * 5 f + -45 = 11 + -1f(-3) Reorder the terms: -45 + f = 11 + -1f(-3) Reorder the terms for easier multiplication: -45 + f = 11 + -1 * -3f Multiply -1 * -3 -45 + f = 11 + 3f Solving -45 + f = 11 + 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. -45 + f + -3f = 11 + 3f + -3f Combine like terms: f + -3f = -2f -45 + -2f = 11 + 3f + -3f Combine like terms: 3f + -3f = 0 -45 + -2f = 11 + 0 -45 + -2f = 11 Add '45' to each side of the equation. -45 + 45 + -2f = 11 + 45 Combine like terms: -45 + 45 = 0 0 + -2f = 11 + 45 -2f = 11 + 45 Combine like terms: 11 + 45 = 56 -2f = 56 Divide each side by '-2'. f = -28 Simplifying f = -28
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