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Simplifying 5g + 2(2 + -1g) + 5(g + 1) = 0 5g + (2 * 2 + -1g * 2) + 5(g + 1) = 0 5g + (4 + -2g) + 5(g + 1) = 0 Reorder the terms: 5g + 4 + -2g + 5(1 + g) = 0 5g + 4 + -2g + (1 * 5 + g * 5) = 0 5g + 4 + -2g + (5 + 5g) = 0 Reorder the terms: 4 + 5 + 5g + -2g + 5g = 0 Combine like terms: 4 + 5 = 9 9 + 5g + -2g + 5g = 0 Combine like terms: 5g + -2g = 3g 9 + 3g + 5g = 0 Combine like terms: 3g + 5g = 8g 9 + 8g = 0 Solving 9 + 8g = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 8g = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 8g = 0 + -9 8g = 0 + -9 Combine like terms: 0 + -9 = -9 8g = -9 Divide each side by '8'. g = -1.125 Simplifying g = -1.125
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