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Simplifying 7(g + -2) = 2(2g + 5) Reorder the terms: 7(-2 + g) = 2(2g + 5) (-2 * 7 + g * 7) = 2(2g + 5) (-14 + 7g) = 2(2g + 5) Reorder the terms: -14 + 7g = 2(5 + 2g) -14 + 7g = (5 * 2 + 2g * 2) -14 + 7g = (10 + 4g) Solving -14 + 7g = 10 + 4g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-4g' to each side of the equation. -14 + 7g + -4g = 10 + 4g + -4g Combine like terms: 7g + -4g = 3g -14 + 3g = 10 + 4g + -4g Combine like terms: 4g + -4g = 0 -14 + 3g = 10 + 0 -14 + 3g = 10 Add '14' to each side of the equation. -14 + 14 + 3g = 10 + 14 Combine like terms: -14 + 14 = 0 0 + 3g = 10 + 14 3g = 10 + 14 Combine like terms: 10 + 14 = 24 3g = 24 Divide each side by '3'. g = 8 Simplifying g = 8
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