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Simplifying 4(f + -3) = 2(f + -4) Reorder the terms: 4(-3 + f) = 2(f + -4) (-3 * 4 + f * 4) = 2(f + -4) (-12 + 4f) = 2(f + -4) Reorder the terms: -12 + 4f = 2(-4 + f) -12 + 4f = (-4 * 2 + f * 2) -12 + 4f = (-8 + 2f) Solving -12 + 4f = -8 + 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. -12 + 4f + -2f = -8 + 2f + -2f Combine like terms: 4f + -2f = 2f -12 + 2f = -8 + 2f + -2f Combine like terms: 2f + -2f = 0 -12 + 2f = -8 + 0 -12 + 2f = -8 Add '12' to each side of the equation. -12 + 12 + 2f = -8 + 12 Combine like terms: -12 + 12 = 0 0 + 2f = -8 + 12 2f = -8 + 12 Combine like terms: -8 + 12 = 4 2f = 4 Divide each side by '2'. f = 2 Simplifying f = 2
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