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Simplifying 6(g + 4) + -1(g + -7) = 0 Reorder the terms: 6(4 + g) + -1(g + -7) = 0 (4 * 6 + g * 6) + -1(g + -7) = 0 (24 + 6g) + -1(g + -7) = 0 Reorder the terms: 24 + 6g + -1(-7 + g) = 0 24 + 6g + (-7 * -1 + g * -1) = 0 24 + 6g + (7 + -1g) = 0 Reorder the terms: 24 + 7 + 6g + -1g = 0 Combine like terms: 24 + 7 = 31 31 + 6g + -1g = 0 Combine like terms: 6g + -1g = 5g 31 + 5g = 0 Solving 31 + 5g = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-31' to each side of the equation. 31 + -31 + 5g = 0 + -31 Combine like terms: 31 + -31 = 0 0 + 5g = 0 + -31 5g = 0 + -31 Combine like terms: 0 + -31 = -31 5g = -31 Divide each side by '5'. g = -6.2 Simplifying g = -6.2
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