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Simplifying -4f + 4 = 10 + -1(2f + -6) Reorder the terms: 4 + -4f = 10 + -1(2f + -6) Reorder the terms: 4 + -4f = 10 + -1(-6 + 2f) 4 + -4f = 10 + (-6 * -1 + 2f * -1) 4 + -4f = 10 + (6 + -2f) Combine like terms: 10 + 6 = 16 4 + -4f = 16 + -2f Solving 4 + -4f = 16 + -2f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '2f' to each side of the equation. 4 + -4f + 2f = 16 + -2f + 2f Combine like terms: -4f + 2f = -2f 4 + -2f = 16 + -2f + 2f Combine like terms: -2f + 2f = 0 4 + -2f = 16 + 0 4 + -2f = 16 Add '-4' to each side of the equation. 4 + -4 + -2f = 16 + -4 Combine like terms: 4 + -4 = 0 0 + -2f = 16 + -4 -2f = 16 + -4 Combine like terms: 16 + -4 = 12 -2f = 12 Divide each side by '-2'. f = -6 Simplifying f = -6
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