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Simplifying 3(f + 11) = -7.5 + -6f Reorder the terms: 3(11 + f) = -7.5 + -6f (11 * 3 + f * 3) = -7.5 + -6f (33 + 3f) = -7.5 + -6f Solving 33 + 3f = -7.5 + -6f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '6f' to each side of the equation. 33 + 3f + 6f = -7.5 + -6f + 6f Combine like terms: 3f + 6f = 9f 33 + 9f = -7.5 + -6f + 6f Combine like terms: -6f + 6f = 0 33 + 9f = -7.5 + 0 33 + 9f = -7.5 Add '-33' to each side of the equation. 33 + -33 + 9f = -7.5 + -33 Combine like terms: 33 + -33 = 0 0 + 9f = -7.5 + -33 9f = -7.5 + -33 Combine like terms: -7.5 + -33 = -40.5 9f = -40.5 Divide each side by '9'. f = -4.5 Simplifying f = -4.5
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