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Simplifying 6(f + 5) = -2(f + -4) Reorder the terms: 6(5 + f) = -2(f + -4) (5 * 6 + f * 6) = -2(f + -4) (30 + 6f) = -2(f + -4) Reorder the terms: 30 + 6f = -2(-4 + f) 30 + 6f = (-4 * -2 + f * -2) 30 + 6f = (8 + -2f) Solving 30 + 6f = 8 + -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. 30 + 6f + 2f = 8 + -2f + 2f Combine like terms: 6f + 2f = 8f 30 + 8f = 8 + -2f + 2f Combine like terms: -2f + 2f = 0 30 + 8f = 8 + 0 30 + 8f = 8 Add '-30' to each side of the equation. 30 + -30 + 8f = 8 + -30 Combine like terms: 30 + -30 = 0 0 + 8f = 8 + -30 8f = 8 + -30 Combine like terms: 8 + -30 = -22 8f = -22 Divide each side by '8'. f = -2.75 Simplifying f = -2.75
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