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Simplifying 29 + 7f = 6(5f + -3) Reorder the terms: 29 + 7f = 6(-3 + 5f) 29 + 7f = (-3 * 6 + 5f * 6) 29 + 7f = (-18 + 30f) Solving 29 + 7f = -18 + 30f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-30f' to each side of the equation. 29 + 7f + -30f = -18 + 30f + -30f Combine like terms: 7f + -30f = -23f 29 + -23f = -18 + 30f + -30f Combine like terms: 30f + -30f = 0 29 + -23f = -18 + 0 29 + -23f = -18 Add '-29' to each side of the equation. 29 + -29 + -23f = -18 + -29 Combine like terms: 29 + -29 = 0 0 + -23f = -18 + -29 -23f = -18 + -29 Combine like terms: -18 + -29 = -47 -23f = -47 Divide each side by '-23'. f = 2.043478261 Simplifying f = 2.043478261
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