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Simplifying 4(2f + 4) = -2(-17 + -7f) Reorder the terms: 4(4 + 2f) = -2(-17 + -7f) (4 * 4 + 2f * 4) = -2(-17 + -7f) (16 + 8f) = -2(-17 + -7f) 16 + 8f = (-17 * -2 + -7f * -2) 16 + 8f = (34 + 14f) Solving 16 + 8f = 34 + 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. 16 + 8f + -14f = 34 + 14f + -14f Combine like terms: 8f + -14f = -6f 16 + -6f = 34 + 14f + -14f Combine like terms: 14f + -14f = 0 16 + -6f = 34 + 0 16 + -6f = 34 Add '-16' to each side of the equation. 16 + -16 + -6f = 34 + -16 Combine like terms: 16 + -16 = 0 0 + -6f = 34 + -16 -6f = 34 + -16 Combine like terms: 34 + -16 = 18 -6f = 18 Divide each side by '-6'. f = -3 Simplifying f = -3
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