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Simplifying 3f + -10 = 4 + -2(3f + -4) Reorder the terms: -10 + 3f = 4 + -2(3f + -4) Reorder the terms: -10 + 3f = 4 + -2(-4 + 3f) -10 + 3f = 4 + (-4 * -2 + 3f * -2) -10 + 3f = 4 + (8 + -6f) Combine like terms: 4 + 8 = 12 -10 + 3f = 12 + -6f Solving -10 + 3f = 12 + -6f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '6f' to each side of the equation. -10 + 3f + 6f = 12 + -6f + 6f Combine like terms: 3f + 6f = 9f -10 + 9f = 12 + -6f + 6f Combine like terms: -6f + 6f = 0 -10 + 9f = 12 + 0 -10 + 9f = 12 Add '10' to each side of the equation. -10 + 10 + 9f = 12 + 10 Combine like terms: -10 + 10 = 0 0 + 9f = 12 + 10 9f = 12 + 10 Combine like terms: 12 + 10 = 22 9f = 22 Divide each side by '9'. f = 2.444444444 Simplifying f = 2.444444444
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