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Simplifying -7(11g + -6) = 9(-11g + 9) + 19g Reorder the terms: -7(-6 + 11g) = 9(-11g + 9) + 19g (-6 * -7 + 11g * -7) = 9(-11g + 9) + 19g (42 + -77g) = 9(-11g + 9) + 19g Reorder the terms: 42 + -77g = 9(9 + -11g) + 19g 42 + -77g = (9 * 9 + -11g * 9) + 19g 42 + -77g = (81 + -99g) + 19g Combine like terms: -99g + 19g = -80g 42 + -77g = 81 + -80g Solving 42 + -77g = 81 + -80g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '80g' to each side of the equation. 42 + -77g + 80g = 81 + -80g + 80g Combine like terms: -77g + 80g = 3g 42 + 3g = 81 + -80g + 80g Combine like terms: -80g + 80g = 0 42 + 3g = 81 + 0 42 + 3g = 81 Add '-42' to each side of the equation. 42 + -42 + 3g = 81 + -42 Combine like terms: 42 + -42 = 0 0 + 3g = 81 + -42 3g = 81 + -42 Combine like terms: 81 + -42 = 39 3g = 39 Divide each side by '3'. g = 13 Simplifying g = 13
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