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Simplifying -6g + -6h + -6i + g + 2h + 3i = 0 Reorder the terms: -6g + g + -6h + 2h + -6i + 3i = 0 Combine like terms: -6g + g = -5g -5g + -6h + 2h + -6i + 3i = 0 Combine like terms: -6h + 2h = -4h -5g + -4h + -6i + 3i = 0 Combine like terms: -6i + 3i = -3i -5g + -4h + -3i = 0 Solving -5g + -4h + -3i = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '4h' to each side of the equation. -5g + -4h + 4h + -3i = 0 + 4h Combine like terms: -4h + 4h = 0 -5g + 0 + -3i = 0 + 4h -5g + -3i = 0 + 4h Remove the zero: -5g + -3i = 4h Add '3i' to each side of the equation. -5g + -3i + 3i = 4h + 3i Combine like terms: -3i + 3i = 0 -5g + 0 = 4h + 3i -5g = 4h + 3i Divide each side by '-5'. g = -0.8h + -0.6i Simplifying g = -0.8h + -0.6i
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