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Simplifying 4(g + -2) = 2(50 + -1g) Reorder the terms: 4(-2 + g) = 2(50 + -1g) (-2 * 4 + g * 4) = 2(50 + -1g) (-8 + 4g) = 2(50 + -1g) -8 + 4g = (50 * 2 + -1g * 2) -8 + 4g = (100 + -2g) Solving -8 + 4g = 100 + -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 = 100 + -2g + 2g Combine like terms: 4g + 2g = 6g -8 + 6g = 100 + -2g + 2g Combine like terms: -2g + 2g = 0 -8 + 6g = 100 + 0 -8 + 6g = 100 Add '8' to each side of the equation. -8 + 8 + 6g = 100 + 8 Combine like terms: -8 + 8 = 0 0 + 6g = 100 + 8 6g = 100 + 8 Combine like terms: 100 + 8 = 108 6g = 108 Divide each side by '6'. g = 18 Simplifying g = 18
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