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Simplifying 4(g + -2) = 2(g + 9) Reorder the terms: 4(-2 + g) = 2(g + 9) (-2 * 4 + g * 4) = 2(g + 9) (-8 + 4g) = 2(g + 9) Reorder the terms: -8 + 4g = 2(9 + g) -8 + 4g = (9 * 2 + g * 2) -8 + 4g = (18 + 2g) Solving -8 + 4g = 18 + 2g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-2g' to each side of the equation. -8 + 4g + -2g = 18 + 2g + -2g Combine like terms: 4g + -2g = 2g -8 + 2g = 18 + 2g + -2g Combine like terms: 2g + -2g = 0 -8 + 2g = 18 + 0 -8 + 2g = 18 Add '8' to each side of the equation. -8 + 8 + 2g = 18 + 8 Combine like terms: -8 + 8 = 0 0 + 2g = 18 + 8 2g = 18 + 8 Combine like terms: 18 + 8 = 26 2g = 26 Divide each side by '2'. g = 13 Simplifying g = 13
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