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Simplifying 9(30 + -10g) + -8(-2 + -5g) = 186 (30 * 9 + -10g * 9) + -8(-2 + -5g) = 186 (270 + -90g) + -8(-2 + -5g) = 186 270 + -90g + (-2 * -8 + -5g * -8) = 186 270 + -90g + (16 + 40g) = 186 Reorder the terms: 270 + 16 + -90g + 40g = 186 Combine like terms: 270 + 16 = 286 286 + -90g + 40g = 186 Combine like terms: -90g + 40g = -50g 286 + -50g = 186 Solving 286 + -50g = 186 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-286' to each side of the equation. 286 + -286 + -50g = 186 + -286 Combine like terms: 286 + -286 = 0 0 + -50g = 186 + -286 -50g = 186 + -286 Combine like terms: 186 + -286 = -100 -50g = -100 Divide each side by '-50'. g = 2 Simplifying g = 2
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