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Simplifying 3(4g + -7) = 12 + g Reorder the terms: 3(-7 + 4g) = 12 + g (-7 * 3 + 4g * 3) = 12 + g (-21 + 12g) = 12 + g Solving -21 + 12g = 12 + g 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. -21 + 12g + -1g = 12 + g + -1g Combine like terms: 12g + -1g = 11g -21 + 11g = 12 + g + -1g Combine like terms: g + -1g = 0 -21 + 11g = 12 + 0 -21 + 11g = 12 Add '21' to each side of the equation. -21 + 21 + 11g = 12 + 21 Combine like terms: -21 + 21 = 0 0 + 11g = 12 + 21 11g = 12 + 21 Combine like terms: 12 + 21 = 33 11g = 33 Divide each side by '11'. g = 3 Simplifying g = 3
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