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Simplifying 10f + -30 = 2f + -40 + -50 Reorder the terms: -30 + 10f = 2f + -40 + -50 Reorder the terms: -30 + 10f = -40 + -50 + 2f Combine like terms: -40 + -50 = -90 -30 + 10f = -90 + 2f Solving -30 + 10f = -90 + 2f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-2f' to each side of the equation. -30 + 10f + -2f = -90 + 2f + -2f Combine like terms: 10f + -2f = 8f -30 + 8f = -90 + 2f + -2f Combine like terms: 2f + -2f = 0 -30 + 8f = -90 + 0 -30 + 8f = -90 Add '30' to each side of the equation. -30 + 30 + 8f = -90 + 30 Combine like terms: -30 + 30 = 0 0 + 8f = -90 + 30 8f = -90 + 30 Combine like terms: -90 + 30 = -60 8f = -60 Divide each side by '8'. f = -7.5 Simplifying f = -7.5
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