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Simplifying 7(g + 8) + -6(2g + -15) = 4(6 + -1g) Reorder the terms: 7(8 + g) + -6(2g + -15) = 4(6 + -1g) (8 * 7 + g * 7) + -6(2g + -15) = 4(6 + -1g) (56 + 7g) + -6(2g + -15) = 4(6 + -1g) Reorder the terms: 56 + 7g + -6(-15 + 2g) = 4(6 + -1g) 56 + 7g + (-15 * -6 + 2g * -6) = 4(6 + -1g) 56 + 7g + (90 + -12g) = 4(6 + -1g) Reorder the terms: 56 + 90 + 7g + -12g = 4(6 + -1g) Combine like terms: 56 + 90 = 146 146 + 7g + -12g = 4(6 + -1g) Combine like terms: 7g + -12g = -5g 146 + -5g = 4(6 + -1g) 146 + -5g = (6 * 4 + -1g * 4) 146 + -5g = (24 + -4g) Solving 146 + -5g = 24 + -4g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '4g' to each side of the equation. 146 + -5g + 4g = 24 + -4g + 4g Combine like terms: -5g + 4g = -1g 146 + -1g = 24 + -4g + 4g Combine like terms: -4g + 4g = 0 146 + -1g = 24 + 0 146 + -1g = 24 Add '-146' to each side of the equation. 146 + -146 + -1g = 24 + -146 Combine like terms: 146 + -146 = 0 0 + -1g = 24 + -146 -1g = 24 + -146 Combine like terms: 24 + -146 = -122 -1g = -122 Divide each side by '-1'. g = 122 Simplifying g = 122
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