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Simplifying 3(2f + -2) = 6(3f + -4) Reorder the terms: 3(-2 + 2f) = 6(3f + -4) (-2 * 3 + 2f * 3) = 6(3f + -4) (-6 + 6f) = 6(3f + -4) Reorder the terms: -6 + 6f = 6(-4 + 3f) -6 + 6f = (-4 * 6 + 3f * 6) -6 + 6f = (-24 + 18f) Solving -6 + 6f = -24 + 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. -6 + 6f + -18f = -24 + 18f + -18f Combine like terms: 6f + -18f = -12f -6 + -12f = -24 + 18f + -18f Combine like terms: 18f + -18f = 0 -6 + -12f = -24 + 0 -6 + -12f = -24 Add '6' to each side of the equation. -6 + 6 + -12f = -24 + 6 Combine like terms: -6 + 6 = 0 0 + -12f = -24 + 6 -12f = -24 + 6 Combine like terms: -24 + 6 = -18 -12f = -18 Divide each side by '-12'. f = 1.5 Simplifying f = 1.5
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