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Simplifying 3(5f + -4) = 3(6f + 4) Reorder the terms: 3(-4 + 5f) = 3(6f + 4) (-4 * 3 + 5f * 3) = 3(6f + 4) (-12 + 15f) = 3(6f + 4) Reorder the terms: -12 + 15f = 3(4 + 6f) -12 + 15f = (4 * 3 + 6f * 3) -12 + 15f = (12 + 18f) Solving -12 + 15f = 12 + 18f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-18f' to each side of the equation. -12 + 15f + -18f = 12 + 18f + -18f Combine like terms: 15f + -18f = -3f -12 + -3f = 12 + 18f + -18f Combine like terms: 18f + -18f = 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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