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Simplifying 2g + 2(-6 + 3q) = 1 + -1g 2g + (-6 * 2 + 3q * 2) = 1 + -1g 2g + (-12 + 6q) = 1 + -1g Reorder the terms: -12 + 2g + 6q = 1 + -1g Solving -12 + 2g + 6q = 1 + -1g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add 'g' to each side of the equation. -12 + 2g + g + 6q = 1 + -1g + g Combine like terms: 2g + g = 3g -12 + 3g + 6q = 1 + -1g + g Combine like terms: -1g + g = 0 -12 + 3g + 6q = 1 + 0 -12 + 3g + 6q = 1 Add '12' to each side of the equation. -12 + 3g + 12 + 6q = 1 + 12 Reorder the terms: -12 + 12 + 3g + 6q = 1 + 12 Combine like terms: -12 + 12 = 0 0 + 3g + 6q = 1 + 12 3g + 6q = 1 + 12 Combine like terms: 1 + 12 = 13 3g + 6q = 13 Add '-6q' to each side of the equation. 3g + 6q + -6q = 13 + -6q Combine like terms: 6q + -6q = 0 3g + 0 = 13 + -6q 3g = 13 + -6q Divide each side by '3'. g = 4.333333333 + -2q Simplifying g = 4.333333333 + -2q
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