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Simplifying -2(-5g + 6k) + -1(-2g + 4k) = 0 (-5g * -2 + 6k * -2) + -1(-2g + 4k) = 0 (10g + -12k) + -1(-2g + 4k) = 0 10g + -12k + (-2g * -1 + 4k * -1) = 0 10g + -12k + (2g + -4k) = 0 Reorder the terms: 10g + 2g + -12k + -4k = 0 Combine like terms: 10g + 2g = 12g 12g + -12k + -4k = 0 Combine like terms: -12k + -4k = -16k 12g + -16k = 0 Solving 12g + -16k = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '16k' to each side of the equation. 12g + -16k + 16k = 0 + 16k Combine like terms: -16k + 16k = 0 12g + 0 = 0 + 16k 12g = 0 + 16k Remove the zero: 12g = 16k Divide each side by '12'. g = 1.333333333k Simplifying g = 1.333333333k
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