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Simplifying 8f + -4 + 5(2f + -3) + 7g = 0 Reorder the terms: 8f + -4 + 5(-3 + 2f) + 7g = 0 8f + -4 + (-3 * 5 + 2f * 5) + 7g = 0 8f + -4 + (-15 + 10f) + 7g = 0 Reorder the terms: -4 + -15 + 8f + 10f + 7g = 0 Combine like terms: -4 + -15 = -19 -19 + 8f + 10f + 7g = 0 Combine like terms: 8f + 10f = 18f -19 + 18f + 7g = 0 Solving -19 + 18f + 7g = 0 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 18f + 19 + 7g = 0 + 19 Reorder the terms: -19 + 19 + 18f + 7g = 0 + 19 Combine like terms: -19 + 19 = 0 0 + 18f + 7g = 0 + 19 18f + 7g = 0 + 19 Combine like terms: 0 + 19 = 19 18f + 7g = 19 Add '-7g' to each side of the equation. 18f + 7g + -7g = 19 + -7g Combine like terms: 7g + -7g = 0 18f + 0 = 19 + -7g 18f = 19 + -7g Divide each side by '18'. f = 1.055555556 + -0.3888888889g Simplifying f = 1.055555556 + -0.3888888889g
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