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Simplifying (2g + -2) + -1(4g + -9) = 133 Reorder the terms: (-2 + 2g) + -1(4g + -9) = 133 Remove parenthesis around (-2 + 2g) -2 + 2g + -1(4g + -9) = 133 Reorder the terms: -2 + 2g + -1(-9 + 4g) = 133 -2 + 2g + (-9 * -1 + 4g * -1) = 133 -2 + 2g + (9 + -4g) = 133 Reorder the terms: -2 + 9 + 2g + -4g = 133 Combine like terms: -2 + 9 = 7 7 + 2g + -4g = 133 Combine like terms: 2g + -4g = -2g 7 + -2g = 133 Solving 7 + -2g = 133 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -2g = 133 + -7 Combine like terms: 7 + -7 = 0 0 + -2g = 133 + -7 -2g = 133 + -7 Combine like terms: 133 + -7 = 126 -2g = 126 Divide each side by '-2'. g = -63 Simplifying g = -63
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