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Simplifying 4(f + -3) = 2(f + -7) Reorder the terms: 4(-3 + f) = 2(f + -7) (-3 * 4 + f * 4) = 2(f + -7) (-12 + 4f) = 2(f + -7) Reorder the terms: -12 + 4f = 2(-7 + f) -12 + 4f = (-7 * 2 + f * 2) -12 + 4f = (-14 + 2f) Solving -12 + 4f = -14 + 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 = -14 + 2f + -2f Combine like terms: 4f + -2f = 2f -12 + 2f = -14 + 2f + -2f Combine like terms: 2f + -2f = 0 -12 + 2f = -14 + 0 -12 + 2f = -14 Add '12' to each side of the equation. -12 + 12 + 2f = -14 + 12 Combine like terms: -12 + 12 = 0 0 + 2f = -14 + 12 2f = -14 + 12 Combine like terms: -14 + 12 = -2 2f = -2 Divide each side by '2'. f = -1 Simplifying f = -1
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