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Simplifying 14 + 3g = 8g + -3(g + -4) Reorder the terms: 14 + 3g = 8g + -3(-4 + g) 14 + 3g = 8g + (-4 * -3 + g * -3) 14 + 3g = 8g + (12 + -3g) Reorder the terms: 14 + 3g = 12 + 8g + -3g Combine like terms: 8g + -3g = 5g 14 + 3g = 12 + 5g Solving 14 + 3g = 12 + 5g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-5g' to each side of the equation. 14 + 3g + -5g = 12 + 5g + -5g Combine like terms: 3g + -5g = -2g 14 + -2g = 12 + 5g + -5g Combine like terms: 5g + -5g = 0 14 + -2g = 12 + 0 14 + -2g = 12 Add '-14' to each side of the equation. 14 + -14 + -2g = 12 + -14 Combine like terms: 14 + -14 = 0 0 + -2g = 12 + -14 -2g = 12 + -14 Combine like terms: 12 + -14 = -2 -2g = -2 Divide each side by '-2'. g = 1 Simplifying g = 1
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