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Simplifying 6g + -9(8 + 4g) = 38 + -7(5g) 6g + (8 * -9 + 4g * -9) = 38 + -7(5g) 6g + (-72 + -36g) = 38 + -7(5g) Reorder the terms: -72 + 6g + -36g = 38 + -7(5g) Combine like terms: 6g + -36g = -30g -72 + -30g = 38 + -7(5g) Remove parenthesis around (5g) -72 + -30g = 38 + -7 * 5g Multiply -7 * 5 -72 + -30g = 38 + -35g Solving -72 + -30g = 38 + -35g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '35g' to each side of the equation. -72 + -30g + 35g = 38 + -35g + 35g Combine like terms: -30g + 35g = 5g -72 + 5g = 38 + -35g + 35g Combine like terms: -35g + 35g = 0 -72 + 5g = 38 + 0 -72 + 5g = 38 Add '72' to each side of the equation. -72 + 72 + 5g = 38 + 72 Combine like terms: -72 + 72 = 0 0 + 5g = 38 + 72 5g = 38 + 72 Combine like terms: 38 + 72 = 110 5g = 110 Divide each side by '5'. g = 22 Simplifying g = 22
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