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Simplifying -5(-8g + -3) + -1(5g + 3) = 0 Reorder the terms: -5(-3 + -8g) + -1(5g + 3) = 0 (-3 * -5 + -8g * -5) + -1(5g + 3) = 0 (15 + 40g) + -1(5g + 3) = 0 Reorder the terms: 15 + 40g + -1(3 + 5g) = 0 15 + 40g + (3 * -1 + 5g * -1) = 0 15 + 40g + (-3 + -5g) = 0 Reorder the terms: 15 + -3 + 40g + -5g = 0 Combine like terms: 15 + -3 = 12 12 + 40g + -5g = 0 Combine like terms: 40g + -5g = 35g 12 + 35g = 0 Solving 12 + 35g = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 35g = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 35g = 0 + -12 35g = 0 + -12 Combine like terms: 0 + -12 = -12 35g = -12 Divide each side by '35'. g = -0.3428571429 Simplifying g = -0.3428571429
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