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Simplifying 6(3g + 1) + -1(2g + -7) + -5 = 0 Reorder the terms: 6(1 + 3g) + -1(2g + -7) + -5 = 0 (1 * 6 + 3g * 6) + -1(2g + -7) + -5 = 0 (6 + 18g) + -1(2g + -7) + -5 = 0 Reorder the terms: 6 + 18g + -1(-7 + 2g) + -5 = 0 6 + 18g + (-7 * -1 + 2g * -1) + -5 = 0 6 + 18g + (7 + -2g) + -5 = 0 Reorder the terms: 6 + 7 + -5 + 18g + -2g = 0 Combine like terms: 6 + 7 = 13 13 + -5 + 18g + -2g = 0 Combine like terms: 13 + -5 = 8 8 + 18g + -2g = 0 Combine like terms: 18g + -2g = 16g 8 + 16g = 0 Solving 8 + 16g = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 16g = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 16g = 0 + -8 16g = 0 + -8 Combine like terms: 0 + -8 = -8 16g = -8 Divide each side by '16'. g = -0.5 Simplifying g = -0.5
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