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Simplifying 4(g + 4) + -6(g + 2) = 0 Reorder the terms: 4(4 + g) + -6(g + 2) = 0 (4 * 4 + g * 4) + -6(g + 2) = 0 (16 + 4g) + -6(g + 2) = 0 Reorder the terms: 16 + 4g + -6(2 + g) = 0 16 + 4g + (2 * -6 + g * -6) = 0 16 + 4g + (-12 + -6g) = 0 Reorder the terms: 16 + -12 + 4g + -6g = 0 Combine like terms: 16 + -12 = 4 4 + 4g + -6g = 0 Combine like terms: 4g + -6g = -2g 4 + -2g = 0 Solving 4 + -2g = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -2g = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -2g = 0 + -4 -2g = 0 + -4 Combine like terms: 0 + -4 = -4 -2g = -4 Divide each side by '-2'. g = 2 Simplifying g = 2
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