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Simplifying 3f + -7f + -12 = -4(2f + -3) Reorder the terms: -12 + 3f + -7f = -4(2f + -3) Combine like terms: 3f + -7f = -4f -12 + -4f = -4(2f + -3) Reorder the terms: -12 + -4f = -4(-3 + 2f) -12 + -4f = (-3 * -4 + 2f * -4) -12 + -4f = (12 + -8f) Solving -12 + -4f = 12 + -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. -12 + -4f + 8f = 12 + -8f + 8f Combine like terms: -4f + 8f = 4f -12 + 4f = 12 + -8f + 8f Combine like terms: -8f + 8f = 0 -12 + 4f = 12 + 0 -12 + 4f = 12 Add '12' to each side of the equation. -12 + 12 + 4f = 12 + 12 Combine like terms: -12 + 12 = 0 0 + 4f = 12 + 12 4f = 12 + 12 Combine like terms: 12 + 12 = 24 4f = 24 Divide each side by '4'. f = 6 Simplifying f = 6
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