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Simplifying 4(2f + -3) = 5f + 12 Reorder the terms: 4(-3 + 2f) = 5f + 12 (-3 * 4 + 2f * 4) = 5f + 12 (-12 + 8f) = 5f + 12 Reorder the terms: -12 + 8f = 12 + 5f Solving -12 + 8f = 12 + 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. -12 + 8f + -5f = 12 + 5f + -5f Combine like terms: 8f + -5f = 3f -12 + 3f = 12 + 5f + -5f Combine like terms: 5f + -5f = 0 -12 + 3f = 12 + 0 -12 + 3f = 12 Add '12' to each side of the equation. -12 + 12 + 3f = 12 + 12 Combine like terms: -12 + 12 = 0 0 + 3f = 12 + 12 3f = 12 + 12 Combine like terms: 12 + 12 = 24 3f = 24 Divide each side by '3'. f = 8 Simplifying f = 8
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