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Simplifying 2(3f + -9) = 8f + 10 Reorder the terms: 2(-9 + 3f) = 8f + 10 (-9 * 2 + 3f * 2) = 8f + 10 (-18 + 6f) = 8f + 10 Reorder the terms: -18 + 6f = 10 + 8f Solving -18 + 6f = 10 + 8f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-8f' to each side of the equation. -18 + 6f + -8f = 10 + 8f + -8f Combine like terms: 6f + -8f = -2f -18 + -2f = 10 + 8f + -8f Combine like terms: 8f + -8f = 0 -18 + -2f = 10 + 0 -18 + -2f = 10 Add '18' to each side of the equation. -18 + 18 + -2f = 10 + 18 Combine like terms: -18 + 18 = 0 0 + -2f = 10 + 18 -2f = 10 + 18 Combine like terms: 10 + 18 = 28 -2f = 28 Divide each side by '-2'. f = -14 Simplifying f = -14
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