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Simplifying 2(f + -3) = 9(f + -2) + -2 Reorder the terms: 2(-3 + f) = 9(f + -2) + -2 (-3 * 2 + f * 2) = 9(f + -2) + -2 (-6 + 2f) = 9(f + -2) + -2 Reorder the terms: -6 + 2f = 9(-2 + f) + -2 -6 + 2f = (-2 * 9 + f * 9) + -2 -6 + 2f = (-18 + 9f) + -2 Reorder the terms: -6 + 2f = -18 + -2 + 9f Combine like terms: -18 + -2 = -20 -6 + 2f = -20 + 9f Solving -6 + 2f = -20 + 9f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-9f' to each side of the equation. -6 + 2f + -9f = -20 + 9f + -9f Combine like terms: 2f + -9f = -7f -6 + -7f = -20 + 9f + -9f Combine like terms: 9f + -9f = 0 -6 + -7f = -20 + 0 -6 + -7f = -20 Add '6' to each side of the equation. -6 + 6 + -7f = -20 + 6 Combine like terms: -6 + 6 = 0 0 + -7f = -20 + 6 -7f = -20 + 6 Combine like terms: -20 + 6 = -14 -7f = -14 Divide each side by '-7'. f = 2 Simplifying f = 2
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