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Simplifying 5(3f + -2) + -5 = 3(2f + -4) + -5 + -3f Reorder the terms: 5(-2 + 3f) + -5 = 3(2f + -4) + -5 + -3f (-2 * 5 + 3f * 5) + -5 = 3(2f + -4) + -5 + -3f (-10 + 15f) + -5 = 3(2f + -4) + -5 + -3f Reorder the terms: -10 + -5 + 15f = 3(2f + -4) + -5 + -3f Combine like terms: -10 + -5 = -15 -15 + 15f = 3(2f + -4) + -5 + -3f Reorder the terms: -15 + 15f = 3(-4 + 2f) + -5 + -3f -15 + 15f = (-4 * 3 + 2f * 3) + -5 + -3f -15 + 15f = (-12 + 6f) + -5 + -3f Reorder the terms: -15 + 15f = -12 + -5 + 6f + -3f Combine like terms: -12 + -5 = -17 -15 + 15f = -17 + 6f + -3f Combine like terms: 6f + -3f = 3f -15 + 15f = -17 + 3f Solving -15 + 15f = -17 + 3f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-3f' to each side of the equation. -15 + 15f + -3f = -17 + 3f + -3f Combine like terms: 15f + -3f = 12f -15 + 12f = -17 + 3f + -3f Combine like terms: 3f + -3f = 0 -15 + 12f = -17 + 0 -15 + 12f = -17 Add '15' to each side of the equation. -15 + 15 + 12f = -17 + 15 Combine like terms: -15 + 15 = 0 0 + 12f = -17 + 15 12f = -17 + 15 Combine like terms: -17 + 15 = -2 12f = -2 Divide each side by '12'. f = -0.1666666667 Simplifying f = -0.1666666667
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