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Simplifying 2g + -5 = 6 + 3(g + 8) Reorder the terms: -5 + 2g = 6 + 3(g + 8) Reorder the terms: -5 + 2g = 6 + 3(8 + g) -5 + 2g = 6 + (8 * 3 + g * 3) -5 + 2g = 6 + (24 + 3g) Combine like terms: 6 + 24 = 30 -5 + 2g = 30 + 3g Solving -5 + 2g = 30 + 3g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-3g' to each side of the equation. -5 + 2g + -3g = 30 + 3g + -3g Combine like terms: 2g + -3g = -1g -5 + -1g = 30 + 3g + -3g Combine like terms: 3g + -3g = 0 -5 + -1g = 30 + 0 -5 + -1g = 30 Add '5' to each side of the equation. -5 + 5 + -1g = 30 + 5 Combine like terms: -5 + 5 = 0 0 + -1g = 30 + 5 -1g = 30 + 5 Combine like terms: 30 + 5 = 35 -1g = 35 Divide each side by '-1'. g = -35 Simplifying g = -35
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