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Simplifying 2(5g + -6) = 7g + 9 Reorder the terms: 2(-6 + 5g) = 7g + 9 (-6 * 2 + 5g * 2) = 7g + 9 (-12 + 10g) = 7g + 9 Reorder the terms: -12 + 10g = 9 + 7g Solving -12 + 10g = 9 + 7g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-7g' to each side of the equation. -12 + 10g + -7g = 9 + 7g + -7g Combine like terms: 10g + -7g = 3g -12 + 3g = 9 + 7g + -7g Combine like terms: 7g + -7g = 0 -12 + 3g = 9 + 0 -12 + 3g = 9 Add '12' to each side of the equation. -12 + 12 + 3g = 9 + 12 Combine like terms: -12 + 12 = 0 0 + 3g = 9 + 12 3g = 9 + 12 Combine like terms: 9 + 12 = 21 3g = 21 Divide each side by '3'. g = 7 Simplifying g = 7
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