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Simplifying 7(1 + -1g) = 19 + -1g (1 * 7 + -1g * 7) = 19 + -1g (7 + -7g) = 19 + -1g Solving 7 + -7g = 19 + -1g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add 'g' to each side of the equation. 7 + -7g + g = 19 + -1g + g Combine like terms: -7g + g = -6g 7 + -6g = 19 + -1g + g Combine like terms: -1g + g = 0 7 + -6g = 19 + 0 7 + -6g = 19 Add '-7' to each side of the equation. 7 + -7 + -6g = 19 + -7 Combine like terms: 7 + -7 = 0 0 + -6g = 19 + -7 -6g = 19 + -7 Combine like terms: 19 + -7 = 12 -6g = 12 Divide each side by '-6'. g = -2 Simplifying g = -2
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