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Simplifying 10(3g + 4) + 5(2g + 5) = 0 Reorder the terms: 10(4 + 3g) + 5(2g + 5) = 0 (4 * 10 + 3g * 10) + 5(2g + 5) = 0 (40 + 30g) + 5(2g + 5) = 0 Reorder the terms: 40 + 30g + 5(5 + 2g) = 0 40 + 30g + (5 * 5 + 2g * 5) = 0 40 + 30g + (25 + 10g) = 0 Reorder the terms: 40 + 25 + 30g + 10g = 0 Combine like terms: 40 + 25 = 65 65 + 30g + 10g = 0 Combine like terms: 30g + 10g = 40g 65 + 40g = 0 Solving 65 + 40g = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-65' to each side of the equation. 65 + -65 + 40g = 0 + -65 Combine like terms: 65 + -65 = 0 0 + 40g = 0 + -65 40g = 0 + -65 Combine like terms: 0 + -65 = -65 40g = -65 Divide each side by '40'. g = -1.625 Simplifying g = -1.625
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