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Simplifying 8(4 + -3g) + 6(g + 7) = 0 (4 * 8 + -3g * 8) + 6(g + 7) = 0 (32 + -24g) + 6(g + 7) = 0 Reorder the terms: 32 + -24g + 6(7 + g) = 0 32 + -24g + (7 * 6 + g * 6) = 0 32 + -24g + (42 + 6g) = 0 Reorder the terms: 32 + 42 + -24g + 6g = 0 Combine like terms: 32 + 42 = 74 74 + -24g + 6g = 0 Combine like terms: -24g + 6g = -18g 74 + -18g = 0 Solving 74 + -18g = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-74' to each side of the equation. 74 + -74 + -18g = 0 + -74 Combine like terms: 74 + -74 = 0 0 + -18g = 0 + -74 -18g = 0 + -74 Combine like terms: 0 + -74 = -74 -18g = -74 Divide each side by '-18'. g = 4.111111111 Simplifying g = 4.111111111
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