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Simplifying 5g + 3h + -2 + -1(6h + 2g + -3) = 0 Reorder the terms: 5g + 3h + -2 + -1(-3 + 2g + 6h) = 0 5g + 3h + -2 + (-3 * -1 + 2g * -1 + 6h * -1) = 0 5g + 3h + -2 + (3 + -2g + -6h) = 0 Reorder the terms: -2 + 3 + 5g + -2g + 3h + -6h = 0 Combine like terms: -2 + 3 = 1 1 + 5g + -2g + 3h + -6h = 0 Combine like terms: 5g + -2g = 3g 1 + 3g + 3h + -6h = 0 Combine like terms: 3h + -6h = -3h 1 + 3g + -3h = 0 Solving 1 + 3g + -3h = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 3g + -1 + -3h = 0 + -1 Reorder the terms: 1 + -1 + 3g + -3h = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3g + -3h = 0 + -1 3g + -3h = 0 + -1 Combine like terms: 0 + -1 = -1 3g + -3h = -1 Add '3h' to each side of the equation. 3g + -3h + 3h = -1 + 3h Combine like terms: -3h + 3h = 0 3g + 0 = -1 + 3h 3g = -1 + 3h Divide each side by '3'. g = -0.3333333333 + h Simplifying g = -0.3333333333 + h
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