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Simplifying -6(3f + 8) = 29 + -7f Reorder the terms: -6(8 + 3f) = 29 + -7f (8 * -6 + 3f * -6) = 29 + -7f (-48 + -18f) = 29 + -7f Solving -48 + -18f = 29 + -7f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '7f' to each side of the equation. -48 + -18f + 7f = 29 + -7f + 7f Combine like terms: -18f + 7f = -11f -48 + -11f = 29 + -7f + 7f Combine like terms: -7f + 7f = 0 -48 + -11f = 29 + 0 -48 + -11f = 29 Add '48' to each side of the equation. -48 + 48 + -11f = 29 + 48 Combine like terms: -48 + 48 = 0 0 + -11f = 29 + 48 -11f = 29 + 48 Combine like terms: 29 + 48 = 77 -11f = 77 Divide each side by '-11'. f = -7 Simplifying f = -7
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