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Simplifying 2(8g + 13) = 7(g + -4) Reorder the terms: 2(13 + 8g) = 7(g + -4) (13 * 2 + 8g * 2) = 7(g + -4) (26 + 16g) = 7(g + -4) Reorder the terms: 26 + 16g = 7(-4 + g) 26 + 16g = (-4 * 7 + g * 7) 26 + 16g = (-28 + 7g) Solving 26 + 16g = -28 + 7g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-7g' to each side of the equation. 26 + 16g + -7g = -28 + 7g + -7g Combine like terms: 16g + -7g = 9g 26 + 9g = -28 + 7g + -7g Combine like terms: 7g + -7g = 0 26 + 9g = -28 + 0 26 + 9g = -28 Add '-26' to each side of the equation. 26 + -26 + 9g = -28 + -26 Combine like terms: 26 + -26 = 0 0 + 9g = -28 + -26 9g = -28 + -26 Combine like terms: -28 + -26 = -54 9g = -54 Divide each side by '9'. g = -6 Simplifying g = -6
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