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Simplifying 6(3 + -1g) + 2(11 + -1g) = 0 (3 * 6 + -1g * 6) + 2(11 + -1g) = 0 (18 + -6g) + 2(11 + -1g) = 0 18 + -6g + (11 * 2 + -1g * 2) = 0 18 + -6g + (22 + -2g) = 0 Reorder the terms: 18 + 22 + -6g + -2g = 0 Combine like terms: 18 + 22 = 40 40 + -6g + -2g = 0 Combine like terms: -6g + -2g = -8g 40 + -8g = 0 Solving 40 + -8g = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + -8g = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -8g = 0 + -40 -8g = 0 + -40 Combine like terms: 0 + -40 = -40 -8g = -40 Divide each side by '-8'. g = 5 Simplifying g = 5
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