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Simplifying 6(g + -2) = 2(50 + -1g) Reorder the terms: 6(-2 + g) = 2(50 + -1g) (-2 * 6 + g * 6) = 2(50 + -1g) (-12 + 6g) = 2(50 + -1g) -12 + 6g = (50 * 2 + -1g * 2) -12 + 6g = (100 + -2g) Solving -12 + 6g = 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. -12 + 6g + 2g = 100 + -2g + 2g Combine like terms: 6g + 2g = 8g -12 + 8g = 100 + -2g + 2g Combine like terms: -2g + 2g = 0 -12 + 8g = 100 + 0 -12 + 8g = 100 Add '12' to each side of the equation. -12 + 12 + 8g = 100 + 12 Combine like terms: -12 + 12 = 0 0 + 8g = 100 + 12 8g = 100 + 12 Combine like terms: 100 + 12 = 112 8g = 112 Divide each side by '8'. g = 14 Simplifying g = 14
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