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Simplifying 3(g + 8) + -2g + 12 = 42 Reorder the terms: 3(8 + g) + -2g + 12 = 42 (8 * 3 + g * 3) + -2g + 12 = 42 (24 + 3g) + -2g + 12 = 42 Reorder the terms: 24 + 12 + 3g + -2g = 42 Combine like terms: 24 + 12 = 36 36 + 3g + -2g = 42 Combine like terms: 3g + -2g = 1g 36 + 1g = 42 Solving 36 + 1g = 42 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + 1g = 42 + -36 Combine like terms: 36 + -36 = 0 0 + 1g = 42 + -36 1g = 42 + -36 Combine like terms: 42 + -36 = 6 1g = 6 Divide each side by '1'. g = 6 Simplifying g = 6
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