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Simplifying 12 = (4g + -2) + -1(3g + 4) Reorder the terms: 12 = (-2 + 4g) + -1(3g + 4) Remove parenthesis around (-2 + 4g) 12 = -2 + 4g + -1(3g + 4) Reorder the terms: 12 = -2 + 4g + -1(4 + 3g) 12 = -2 + 4g + (4 * -1 + 3g * -1) 12 = -2 + 4g + (-4 + -3g) Reorder the terms: 12 = -2 + -4 + 4g + -3g Combine like terms: -2 + -4 = -6 12 = -6 + 4g + -3g Combine like terms: 4g + -3g = 1g 12 = -6 + 1g Solving 12 = -6 + 1g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-1g' to each side of the equation. 12 + -1g = -6 + 1g + -1g Combine like terms: 1g + -1g = 0 12 + -1g = -6 + 0 12 + -1g = -6 Add '-12' to each side of the equation. 12 + -12 + -1g = -6 + -12 Combine like terms: 12 + -12 = 0 0 + -1g = -6 + -12 -1g = -6 + -12 Combine like terms: -6 + -12 = -18 -1g = -18 Divide each side by '-1'. g = 18 Simplifying g = 18
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