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Simplifying (g + 8) + -6(2g + -15) = 4(6 + -1g) Reorder the terms: (8 + g) + -6(2g + -15) = 4(6 + -1g) Remove parenthesis around (8 + g) 8 + g + -6(2g + -15) = 4(6 + -1g) Reorder the terms: 8 + g + -6(-15 + 2g) = 4(6 + -1g) 8 + g + (-15 * -6 + 2g * -6) = 4(6 + -1g) 8 + g + (90 + -12g) = 4(6 + -1g) Reorder the terms: 8 + 90 + g + -12g = 4(6 + -1g) Combine like terms: 8 + 90 = 98 98 + g + -12g = 4(6 + -1g) Combine like terms: g + -12g = -11g 98 + -11g = 4(6 + -1g) 98 + -11g = (6 * 4 + -1g * 4) 98 + -11g = (24 + -4g) Solving 98 + -11g = 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. 98 + -11g + 4g = 24 + -4g + 4g Combine like terms: -11g + 4g = -7g 98 + -7g = 24 + -4g + 4g Combine like terms: -4g + 4g = 0 98 + -7g = 24 + 0 98 + -7g = 24 Add '-98' to each side of the equation. 98 + -98 + -7g = 24 + -98 Combine like terms: 98 + -98 = 0 0 + -7g = 24 + -98 -7g = 24 + -98 Combine like terms: 24 + -98 = -74 -7g = -74 Divide each side by '-7'. g = 10.57142857 Simplifying g = 10.57142857
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