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Simplifying 2g + 3(g + -4) = 6 + 2g Reorder the terms: 2g + 3(-4 + g) = 6 + 2g 2g + (-4 * 3 + g * 3) = 6 + 2g 2g + (-12 + 3g) = 6 + 2g Reorder the terms: -12 + 2g + 3g = 6 + 2g Combine like terms: 2g + 3g = 5g -12 + 5g = 6 + 2g Solving -12 + 5g = 6 + 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 + 5g + -2g = 6 + 2g + -2g Combine like terms: 5g + -2g = 3g -12 + 3g = 6 + 2g + -2g Combine like terms: 2g + -2g = 0 -12 + 3g = 6 + 0 -12 + 3g = 6 Add '12' to each side of the equation. -12 + 12 + 3g = 6 + 12 Combine like terms: -12 + 12 = 0 0 + 3g = 6 + 12 3g = 6 + 12 Combine like terms: 6 + 12 = 18 3g = 18 Divide each side by '3'. g = 6 Simplifying g = 6
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