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Simplifying 8(2f + -2) = 7(3f + 3f + 2) Reorder the terms: 8(-2 + 2f) = 7(3f + 3f + 2) (-2 * 8 + 2f * 8) = 7(3f + 3f + 2) (-16 + 16f) = 7(3f + 3f + 2) Reorder the terms: -16 + 16f = 7(2 + 3f + 3f) Combine like terms: 3f + 3f = 6f -16 + 16f = 7(2 + 6f) -16 + 16f = (2 * 7 + 6f * 7) -16 + 16f = (14 + 42f) Solving -16 + 16f = 14 + 42f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-42f' to each side of the equation. -16 + 16f + -42f = 14 + 42f + -42f Combine like terms: 16f + -42f = -26f -16 + -26f = 14 + 42f + -42f Combine like terms: 42f + -42f = 0 -16 + -26f = 14 + 0 -16 + -26f = 14 Add '16' to each side of the equation. -16 + 16 + -26f = 14 + 16 Combine like terms: -16 + 16 = 0 0 + -26f = 14 + 16 -26f = 14 + 16 Combine like terms: 14 + 16 = 30 -26f = 30 Divide each side by '-26'. f = -1.153846154 Simplifying f = -1.153846154
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