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Simplifying 8(2g + 1) + 3(2 + -3y) = 0 Reorder the terms: 8(1 + 2g) + 3(2 + -3y) = 0 (1 * 8 + 2g * 8) + 3(2 + -3y) = 0 (8 + 16g) + 3(2 + -3y) = 0 8 + 16g + (2 * 3 + -3y * 3) = 0 8 + 16g + (6 + -9y) = 0 Reorder the terms: 8 + 6 + 16g + -9y = 0 Combine like terms: 8 + 6 = 14 14 + 16g + -9y = 0 Solving 14 + 16g + -9y = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + 16g + -14 + -9y = 0 + -14 Reorder the terms: 14 + -14 + 16g + -9y = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 16g + -9y = 0 + -14 16g + -9y = 0 + -14 Combine like terms: 0 + -14 = -14 16g + -9y = -14 Add '9y' to each side of the equation. 16g + -9y + 9y = -14 + 9y Combine like terms: -9y + 9y = 0 16g + 0 = -14 + 9y 16g = -14 + 9y Divide each side by '16'. g = -0.875 + 0.5625y Simplifying g = -0.875 + 0.5625y
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