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Simplifying 6g + -1(g + 2) = -2 + -37g Reorder the terms: 6g + -1(2 + g) = -2 + -37g 6g + (2 * -1 + g * -1) = -2 + -37g 6g + (-2 + -1g) = -2 + -37g Reorder the terms: -2 + 6g + -1g = -2 + -37g Combine like terms: 6g + -1g = 5g -2 + 5g = -2 + -37g Add '2' to each side of the equation. -2 + 2 + 5g = -2 + 2 + -37g Combine like terms: -2 + 2 = 0 0 + 5g = -2 + 2 + -37g 5g = -2 + 2 + -37g Combine like terms: -2 + 2 = 0 5g = 0 + -37g 5g = -37g Solving 5g = -37g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '37g' to each side of the equation. 5g + 37g = -37g + 37g Combine like terms: 5g + 37g = 42g 42g = -37g + 37g Combine like terms: -37g + 37g = 0 42g = 0 Divide each side by '42'. g = 0 Simplifying g = 0
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