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Simplifying 38 = 4(2f + -3) + -3f Reorder the terms: 38 = 4(-3 + 2f) + -3f 38 = (-3 * 4 + 2f * 4) + -3f 38 = (-12 + 8f) + -3f Combine like terms: 8f + -3f = 5f 38 = -12 + 5f Solving 38 = -12 + 5f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-5f' to each side of the equation. 38 + -5f = -12 + 5f + -5f Combine like terms: 5f + -5f = 0 38 + -5f = -12 + 0 38 + -5f = -12 Add '-38' to each side of the equation. 38 + -38 + -5f = -12 + -38 Combine like terms: 38 + -38 = 0 0 + -5f = -12 + -38 -5f = -12 + -38 Combine like terms: -12 + -38 = -50 -5f = -50 Divide each side by '-5'. f = 10 Simplifying f = 10
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