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Simplifying 10(g + 5) + -2(g + 9) = 0 Reorder the terms: 10(5 + g) + -2(g + 9) = 0 (5 * 10 + g * 10) + -2(g + 9) = 0 (50 + 10g) + -2(g + 9) = 0 Reorder the terms: 50 + 10g + -2(9 + g) = 0 50 + 10g + (9 * -2 + g * -2) = 0 50 + 10g + (-18 + -2g) = 0 Reorder the terms: 50 + -18 + 10g + -2g = 0 Combine like terms: 50 + -18 = 32 32 + 10g + -2g = 0 Combine like terms: 10g + -2g = 8g 32 + 8g = 0 Solving 32 + 8g = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + 8g = 0 + -32 Combine like terms: 32 + -32 = 0 0 + 8g = 0 + -32 8g = 0 + -32 Combine like terms: 0 + -32 = -32 8g = -32 Divide each side by '8'. g = -4 Simplifying g = -4
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