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Simplifying 5q + 2(-6 + 5g) = 1 + -1g 5q + (-6 * 2 + 5g * 2) = 1 + -1g 5q + (-12 + 10g) = 1 + -1g Reorder the terms: -12 + 10g + 5q = 1 + -1g Solving -12 + 10g + 5q = 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 + 10g + g + 5q = 1 + -1g + g Combine like terms: 10g + g = 11g -12 + 11g + 5q = 1 + -1g + g Combine like terms: -1g + g = 0 -12 + 11g + 5q = 1 + 0 -12 + 11g + 5q = 1 Add '12' to each side of the equation. -12 + 11g + 12 + 5q = 1 + 12 Reorder the terms: -12 + 12 + 11g + 5q = 1 + 12 Combine like terms: -12 + 12 = 0 0 + 11g + 5q = 1 + 12 11g + 5q = 1 + 12 Combine like terms: 1 + 12 = 13 11g + 5q = 13 Add '-5q' to each side of the equation. 11g + 5q + -5q = 13 + -5q Combine like terms: 5q + -5q = 0 11g + 0 = 13 + -5q 11g = 13 + -5q Divide each side by '11'. g = 1.181818182 + -0.4545454545q Simplifying g = 1.181818182 + -0.4545454545q
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