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Simplifying -2(-5g + 6k) + -9(-2g + 4k) = 0 (-5g * -2 + 6k * -2) + -9(-2g + 4k) = 0 (10g + -12k) + -9(-2g + 4k) = 0 10g + -12k + (-2g * -9 + 4k * -9) = 0 10g + -12k + (18g + -36k) = 0 Reorder the terms: 10g + 18g + -12k + -36k = 0 Combine like terms: 10g + 18g = 28g 28g + -12k + -36k = 0 Combine like terms: -12k + -36k = -48k 28g + -48k = 0 Solving 28g + -48k = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '48k' to each side of the equation. 28g + -48k + 48k = 0 + 48k Combine like terms: -48k + 48k = 0 28g + 0 = 0 + 48k 28g = 0 + 48k Remove the zero: 28g = 48k Divide each side by '28'. g = 1.714285714k Simplifying g = 1.714285714k
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