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Simplifying 8(2f + -2) = 7(3f + 12) Reorder the terms: 8(-2 + 2f) = 7(3f + 12) (-2 * 8 + 2f * 8) = 7(3f + 12) (-16 + 16f) = 7(3f + 12) Reorder the terms: -16 + 16f = 7(12 + 3f) -16 + 16f = (12 * 7 + 3f * 7) -16 + 16f = (84 + 21f) Solving -16 + 16f = 84 + 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. -16 + 16f + -21f = 84 + 21f + -21f Combine like terms: 16f + -21f = -5f -16 + -5f = 84 + 21f + -21f Combine like terms: 21f + -21f = 0 -16 + -5f = 84 + 0 -16 + -5f = 84 Add '16' to each side of the equation. -16 + 16 + -5f = 84 + 16 Combine like terms: -16 + 16 = 0 0 + -5f = 84 + 16 -5f = 84 + 16 Combine like terms: 84 + 16 = 100 -5f = 100 Divide each side by '-5'. f = -20 Simplifying f = -20
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