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Simplifying 5(3f + -8g) + 2g = 0 (3f * 5 + -8g * 5) + 2g = 0 (15f + -40g) + 2g = 0 Combine like terms: -40g + 2g = -38g 15f + -38g = 0 Solving 15f + -38g = 0 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '38g' to each side of the equation. 15f + -38g + 38g = 0 + 38g Combine like terms: -38g + 38g = 0 15f + 0 = 0 + 38g 15f = 0 + 38g Remove the zero: 15f = 38g Divide each side by '15'. f = 2.533333333g Simplifying f = 2.533333333g
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