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Simplifying 5f + 34 = -2(1 + -7f) Reorder the terms: 34 + 5f = -2(1 + -7f) 34 + 5f = (1 * -2 + -7f * -2) 34 + 5f = (-2 + 14f) Solving 34 + 5f = -2 + 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. 34 + 5f + -14f = -2 + 14f + -14f Combine like terms: 5f + -14f = -9f 34 + -9f = -2 + 14f + -14f Combine like terms: 14f + -14f = 0 34 + -9f = -2 + 0 34 + -9f = -2 Add '-34' to each side of the equation. 34 + -34 + -9f = -2 + -34 Combine like terms: 34 + -34 = 0 0 + -9f = -2 + -34 -9f = -2 + -34 Combine like terms: -2 + -34 = -36 -9f = -36 Divide each side by '-9'. f = 4 Simplifying f = 4
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