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Simplifying 4(2f + -3g) + 3f + -7 = 0 (2f * 4 + -3g * 4) + 3f + -7 = 0 (8f + -12g) + 3f + -7 = 0 Reorder the terms: -7 + 8f + 3f + -12g = 0 Combine like terms: 8f + 3f = 11f -7 + 11f + -12g = 0 Solving -7 + 11f + -12g = 0 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 11f + 7 + -12g = 0 + 7 Reorder the terms: -7 + 7 + 11f + -12g = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 11f + -12g = 0 + 7 11f + -12g = 0 + 7 Combine like terms: 0 + 7 = 7 11f + -12g = 7 Add '12g' to each side of the equation. 11f + -12g + 12g = 7 + 12g Combine like terms: -12g + 12g = 0 11f + 0 = 7 + 12g 11f = 7 + 12g Divide each side by '11'. f = 0.6363636364 + 1.090909091g Simplifying f = 0.6363636364 + 1.090909091g
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