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Simplifying 4(f + -2) = 2f + 3(f + -3) Reorder the terms: 4(-2 + f) = 2f + 3(f + -3) (-2 * 4 + f * 4) = 2f + 3(f + -3) (-8 + 4f) = 2f + 3(f + -3) Reorder the terms: -8 + 4f = 2f + 3(-3 + f) -8 + 4f = 2f + (-3 * 3 + f * 3) -8 + 4f = 2f + (-9 + 3f) Reorder the terms: -8 + 4f = -9 + 2f + 3f Combine like terms: 2f + 3f = 5f -8 + 4f = -9 + 5f Solving -8 + 4f = -9 + 5f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-5f' to each side of the equation. -8 + 4f + -5f = -9 + 5f + -5f Combine like terms: 4f + -5f = -1f -8 + -1f = -9 + 5f + -5f Combine like terms: 5f + -5f = 0 -8 + -1f = -9 + 0 -8 + -1f = -9 Add '8' to each side of the equation. -8 + 8 + -1f = -9 + 8 Combine like terms: -8 + 8 = 0 0 + -1f = -9 + 8 -1f = -9 + 8 Combine like terms: -9 + 8 = -1 -1f = -1 Divide each side by '-1'. f = 1 Simplifying f = 1
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