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Simplifying 2(3f + -1) + 4 = 4x + -1 + -4(5 + -1f) Reorder the terms: 2(-1 + 3f) + 4 = 4x + -1 + -4(5 + -1f) (-1 * 2 + 3f * 2) + 4 = 4x + -1 + -4(5 + -1f) (-2 + 6f) + 4 = 4x + -1 + -4(5 + -1f) Reorder the terms: -2 + 4 + 6f = 4x + -1 + -4(5 + -1f) Combine like terms: -2 + 4 = 2 2 + 6f = 4x + -1 + -4(5 + -1f) 2 + 6f = 4x + -1 + (5 * -4 + -1f * -4) 2 + 6f = 4x + -1 + (-20 + 4f) Reorder the terms: 2 + 6f = -1 + -20 + 4f + 4x Combine like terms: -1 + -20 = -21 2 + 6f = -21 + 4f + 4x Solving 2 + 6f = -21 + 4f + 4x Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-4f' to each side of the equation. 2 + 6f + -4f = -21 + 4f + -4f + 4x Combine like terms: 6f + -4f = 2f 2 + 2f = -21 + 4f + -4f + 4x Combine like terms: 4f + -4f = 0 2 + 2f = -21 + 0 + 4x 2 + 2f = -21 + 4x Add '-2' to each side of the equation. 2 + -2 + 2f = -21 + -2 + 4x Combine like terms: 2 + -2 = 0 0 + 2f = -21 + -2 + 4x 2f = -21 + -2 + 4x Combine like terms: -21 + -2 = -23 2f = -23 + 4x Divide each side by '2'. f = -11.5 + 2x Simplifying f = -11.5 + 2x
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