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Simplifying 5(1 + 3g) + 3(3 + -4g) = 0 (1 * 5 + 3g * 5) + 3(3 + -4g) = 0 (5 + 15g) + 3(3 + -4g) = 0 5 + 15g + (3 * 3 + -4g * 3) = 0 5 + 15g + (9 + -12g) = 0 Reorder the terms: 5 + 9 + 15g + -12g = 0 Combine like terms: 5 + 9 = 14 14 + 15g + -12g = 0 Combine like terms: 15g + -12g = 3g 14 + 3g = 0 Solving 14 + 3g = 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 + -14 + 3g = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 3g = 0 + -14 3g = 0 + -14 Combine like terms: 0 + -14 = -14 3g = -14 Divide each side by '3'. g = -4.666666667 Simplifying g = -4.666666667
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