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Simplifying -1(f + 4) + 5(3f + -4) = -9(-2) Reorder the terms: -1(4 + f) + 5(3f + -4) = -9(-2) (4 * -1 + f * -1) + 5(3f + -4) = -9(-2) (-4 + -1f) + 5(3f + -4) = -9(-2) Reorder the terms: -4 + -1f + 5(-4 + 3f) = -9(-2) -4 + -1f + (-4 * 5 + 3f * 5) = -9(-2) -4 + -1f + (-20 + 15f) = -9(-2) Reorder the terms: -4 + -20 + -1f + 15f = -9(-2) Combine like terms: -4 + -20 = -24 -24 + -1f + 15f = -9(-2) Combine like terms: -1f + 15f = 14f -24 + 14f = -9(-2) Multiply -9 * -2 -24 + 14f = 18 Solving -24 + 14f = 18 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 14f = 18 + 24 Combine like terms: -24 + 24 = 0 0 + 14f = 18 + 24 14f = 18 + 24 Combine like terms: 18 + 24 = 42 14f = 42 Divide each side by '14'. f = 3 Simplifying f = 3
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