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Simplifying 10g + 21 + -1(8g + -12) = 0 Reorder the terms: 10g + 21 + -1(-12 + 8g) = 0 10g + 21 + (-12 * -1 + 8g * -1) = 0 10g + 21 + (12 + -8g) = 0 Reorder the terms: 21 + 12 + 10g + -8g = 0 Combine like terms: 21 + 12 = 33 33 + 10g + -8g = 0 Combine like terms: 10g + -8g = 2g 33 + 2g = 0 Solving 33 + 2g = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-33' to each side of the equation. 33 + -33 + 2g = 0 + -33 Combine like terms: 33 + -33 = 0 0 + 2g = 0 + -33 2g = 0 + -33 Combine like terms: 0 + -33 = -33 2g = -33 Divide each side by '2'. g = -16.5 Simplifying g = -16.5
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