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Simplifying 6g + 2a + -3g + -3h = 0 Reorder the terms: 2a + 6g + -3g + -3h = 0 Combine like terms: 6g + -3g = 3g 2a + 3g + -3h = 0 Solving 2a + 3g + -3h = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3g' to each side of the equation. 2a + 3g + -3g + -3h = 0 + -3g Combine like terms: 3g + -3g = 0 2a + 0 + -3h = 0 + -3g 2a + -3h = 0 + -3g Remove the zero: 2a + -3h = -3g Add '3h' to each side of the equation. 2a + -3h + 3h = -3g + 3h Combine like terms: -3h + 3h = 0 2a + 0 = -3g + 3h 2a = -3g + 3h Divide each side by '2'. a = -1.5g + 1.5h Simplifying a = -1.5g + 1.5h
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