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Simplifying 2(g + 5) + 4(h + -3) = 0 Reorder the terms: 2(5 + g) + 4(h + -3) = 0 (5 * 2 + g * 2) + 4(h + -3) = 0 (10 + 2g) + 4(h + -3) = 0 Reorder the terms: 10 + 2g + 4(-3 + h) = 0 10 + 2g + (-3 * 4 + h * 4) = 0 10 + 2g + (-12 + 4h) = 0 Reorder the terms: 10 + -12 + 2g + 4h = 0 Combine like terms: 10 + -12 = -2 -2 + 2g + 4h = 0 Solving -2 + 2g + 4h = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2g + 2 + 4h = 0 + 2 Reorder the terms: -2 + 2 + 2g + 4h = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 2g + 4h = 0 + 2 2g + 4h = 0 + 2 Combine like terms: 0 + 2 = 2 2g + 4h = 2 Add '-4h' to each side of the equation. 2g + 4h + -4h = 2 + -4h Combine like terms: 4h + -4h = 0 2g + 0 = 2 + -4h 2g = 2 + -4h Divide each side by '2'. g = 1 + -2h Simplifying g = 1 + -2h
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