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Simplifying 17 + -2(5f + -6 + -2f) = 7(-2f + 3) Reorder the terms: 17 + -2(-6 + 5f + -2f) = 7(-2f + 3) Combine like terms: 5f + -2f = 3f 17 + -2(-6 + 3f) = 7(-2f + 3) 17 + (-6 * -2 + 3f * -2) = 7(-2f + 3) 17 + (12 + -6f) = 7(-2f + 3) Combine like terms: 17 + 12 = 29 29 + -6f = 7(-2f + 3) Reorder the terms: 29 + -6f = 7(3 + -2f) 29 + -6f = (3 * 7 + -2f * 7) 29 + -6f = (21 + -14f) Solving 29 + -6f = 21 + -14f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '14f' to each side of the equation. 29 + -6f + 14f = 21 + -14f + 14f Combine like terms: -6f + 14f = 8f 29 + 8f = 21 + -14f + 14f Combine like terms: -14f + 14f = 0 29 + 8f = 21 + 0 29 + 8f = 21 Add '-29' to each side of the equation. 29 + -29 + 8f = 21 + -29 Combine like terms: 29 + -29 = 0 0 + 8f = 21 + -29 8f = 21 + -29 Combine like terms: 21 + -29 = -8 8f = -8 Divide each side by '8'. f = -1 Simplifying f = -1
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