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Simplifying 3 + -1g + 7 + (3 + -1g) + 2(7 + (3 + -1g)) = 74 Remove parenthesis around (3 + -1g) 3 + -1g + 7 + 3 + -1g + 2(7 + (3 + -1g)) = 74 Remove parenthesis around (3 + -1g) 3 + -1g + 7 + 3 + -1g + 2(7 + 3 + -1g) = 74 Combine like terms: 7 + 3 = 10 3 + -1g + 7 + 3 + -1g + 2(10 + -1g) = 74 3 + -1g + 7 + 3 + -1g + (10 * 2 + -1g * 2) = 74 3 + -1g + 7 + 3 + -1g + (20 + -2g) = 74 Reorder the terms: 3 + 7 + 3 + 20 + -1g + -1g + -2g = 74 Combine like terms: 3 + 7 = 10 10 + 3 + 20 + -1g + -1g + -2g = 74 Combine like terms: 10 + 3 = 13 13 + 20 + -1g + -1g + -2g = 74 Combine like terms: 13 + 20 = 33 33 + -1g + -1g + -2g = 74 Combine like terms: -1g + -1g = -2g 33 + -2g + -2g = 74 Combine like terms: -2g + -2g = -4g 33 + -4g = 74 Solving 33 + -4g = 74 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-33' to each side of the equation. 33 + -33 + -4g = 74 + -33 Combine like terms: 33 + -33 = 0 0 + -4g = 74 + -33 -4g = 74 + -33 Combine like terms: 74 + -33 = 41 -4g = 41 Divide each side by '-4'. g = -10.25 Simplifying g = -10.25
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