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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 = -22 -22 + -2g + 4h = 0 Solving -22 + -2g + 4h = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '22' to each side of the equation. -22 + -2g + 22 + 4h = 0 + 22 Reorder the terms: -22 + 22 + -2g + 4h = 0 + 22 Combine like terms: -22 + 22 = 0 0 + -2g + 4h = 0 + 22 -2g + 4h = 0 + 22 Combine like terms: 0 + 22 = 22 -2g + 4h = 22 Add '-4h' to each side of the equation. -2g + 4h + -4h = 22 + -4h Combine like terms: 4h + -4h = 0 -2g + 0 = 22 + -4h -2g = 22 + -4h Divide each side by '-2'. g = -11 + 2h Simplifying g = -11 + 2h
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