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Simplifying 6(f + 3) = -2(f + 31) Reorder the terms: 6(3 + f) = -2(f + 31) (3 * 6 + f * 6) = -2(f + 31) (18 + 6f) = -2(f + 31) Reorder the terms: 18 + 6f = -2(31 + f) 18 + 6f = (31 * -2 + f * -2) 18 + 6f = (-62 + -2f) Solving 18 + 6f = -62 + -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. 18 + 6f + 2f = -62 + -2f + 2f Combine like terms: 6f + 2f = 8f 18 + 8f = -62 + -2f + 2f Combine like terms: -2f + 2f = 0 18 + 8f = -62 + 0 18 + 8f = -62 Add '-18' to each side of the equation. 18 + -18 + 8f = -62 + -18 Combine like terms: 18 + -18 = 0 0 + 8f = -62 + -18 8f = -62 + -18 Combine like terms: -62 + -18 = -80 8f = -80 Divide each side by '8'. f = -10 Simplifying f = -10
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