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Simplifying 0 = 5(2 + 3f) + 3(6 + -1f) 0 = (2 * 5 + 3f * 5) + 3(6 + -1f) 0 = (10 + 15f) + 3(6 + -1f) 0 = 10 + 15f + (6 * 3 + -1f * 3) 0 = 10 + 15f + (18 + -3f) Reorder the terms: 0 = 10 + 18 + 15f + -3f Combine like terms: 10 + 18 = 28 0 = 28 + 15f + -3f Combine like terms: 15f + -3f = 12f 0 = 28 + 12f Solving 0 = 28 + 12f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-12f' to each side of the equation. 0 + -12f = 28 + 12f + -12f Remove the zero: -12f = 28 + 12f + -12f Combine like terms: 12f + -12f = 0 -12f = 28 + 0 -12f = 28 Divide each side by '-12'. f = -2.333333333 Simplifying f = -2.333333333
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