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Simplifying -10(g + -3) + 4(g + 4) = 46 Reorder the terms: -10(-3 + g) + 4(g + 4) = 46 (-3 * -10 + g * -10) + 4(g + 4) = 46 (30 + -10g) + 4(g + 4) = 46 Reorder the terms: 30 + -10g + 4(4 + g) = 46 30 + -10g + (4 * 4 + g * 4) = 46 30 + -10g + (16 + 4g) = 46 Reorder the terms: 30 + 16 + -10g + 4g = 46 Combine like terms: 30 + 16 = 46 46 + -10g + 4g = 46 Combine like terms: -10g + 4g = -6g 46 + -6g = 46 Add '-46' to each side of the equation. 46 + -46 + -6g = 46 + -46 Combine like terms: 46 + -46 = 0 0 + -6g = 46 + -46 -6g = 46 + -46 Combine like terms: 46 + -46 = 0 -6g = 0 Solving -6g = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Divide each side by '-6'. g = 0 Simplifying g = 0
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