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Simplifying 7(g + -2) = 5(g + 4) Reorder the terms: 7(-2 + g) = 5(g + 4) (-2 * 7 + g * 7) = 5(g + 4) (-14 + 7g) = 5(g + 4) Reorder the terms: -14 + 7g = 5(4 + g) -14 + 7g = (4 * 5 + g * 5) -14 + 7g = (20 + 5g) Solving -14 + 7g = 20 + 5g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-5g' to each side of the equation. -14 + 7g + -5g = 20 + 5g + -5g Combine like terms: 7g + -5g = 2g -14 + 2g = 20 + 5g + -5g Combine like terms: 5g + -5g = 0 -14 + 2g = 20 + 0 -14 + 2g = 20 Add '14' to each side of the equation. -14 + 14 + 2g = 20 + 14 Combine like terms: -14 + 14 = 0 0 + 2g = 20 + 14 2g = 20 + 14 Combine like terms: 20 + 14 = 34 2g = 34 Divide each side by '2'. g = 17 Simplifying g = 17
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