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Simplifying 7(1 + -1g) = -3(5 + 3g) (1 * 7 + -1g * 7) = -3(5 + 3g) (7 + -7g) = -3(5 + 3g) 7 + -7g = (5 * -3 + 3g * -3) 7 + -7g = (-15 + -9g) Solving 7 + -7g = -15 + -9g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '9g' to each side of the equation. 7 + -7g + 9g = -15 + -9g + 9g Combine like terms: -7g + 9g = 2g 7 + 2g = -15 + -9g + 9g Combine like terms: -9g + 9g = 0 7 + 2g = -15 + 0 7 + 2g = -15 Add '-7' to each side of the equation. 7 + -7 + 2g = -15 + -7 Combine like terms: 7 + -7 = 0 0 + 2g = -15 + -7 2g = -15 + -7 Combine like terms: -15 + -7 = -22 2g = -22 Divide each side by '2'. g = -11 Simplifying g = -11
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