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Simplifying 7(g + -4) = 6g + 12 Reorder the terms: 7(-4 + g) = 6g + 12 (-4 * 7 + g * 7) = 6g + 12 (-28 + 7g) = 6g + 12 Reorder the terms: -28 + 7g = 12 + 6g Solving -28 + 7g = 12 + 6g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-6g' to each side of the equation. -28 + 7g + -6g = 12 + 6g + -6g Combine like terms: 7g + -6g = 1g -28 + 1g = 12 + 6g + -6g Combine like terms: 6g + -6g = 0 -28 + 1g = 12 + 0 -28 + 1g = 12 Add '28' to each side of the equation. -28 + 28 + 1g = 12 + 28 Combine like terms: -28 + 28 = 0 0 + 1g = 12 + 28 1g = 12 + 28 Combine like terms: 12 + 28 = 40 1g = 40 Divide each side by '1'. g = 40 Simplifying g = 40
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