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Simplifying 3(2f + -2) = 7(3f + 2) Reorder the terms: 3(-2 + 2f) = 7(3f + 2) (-2 * 3 + 2f * 3) = 7(3f + 2) (-6 + 6f) = 7(3f + 2) Reorder the terms: -6 + 6f = 7(2 + 3f) -6 + 6f = (2 * 7 + 3f * 7) -6 + 6f = (14 + 21f) Solving -6 + 6f = 14 + 21f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-21f' to each side of the equation. -6 + 6f + -21f = 14 + 21f + -21f Combine like terms: 6f + -21f = -15f -6 + -15f = 14 + 21f + -21f Combine like terms: 21f + -21f = 0 -6 + -15f = 14 + 0 -6 + -15f = 14 Add '6' to each side of the equation. -6 + 6 + -15f = 14 + 6 Combine like terms: -6 + 6 = 0 0 + -15f = 14 + 6 -15f = 14 + 6 Combine like terms: 14 + 6 = 20 -15f = 20 Divide each side by '-15'. f = -1.333333333 Simplifying f = -1.333333333
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