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Simplifying 7(g * -6) = 9g + -2g + -42 Reorder the terms for easier multiplication: 7(-6g) = 9g + -2g + -42 Remove parenthesis around (-6g) 7 * -6g = 9g + -2g + -42 Multiply 7 * -6 -42g = 9g + -2g + -42 Reorder the terms: -42g = -42 + 9g + -2g Combine like terms: 9g + -2g = 7g -42g = -42 + 7g Solving -42g = -42 + 7g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-7g' to each side of the equation. -42g + -7g = -42 + 7g + -7g Combine like terms: -42g + -7g = -49g -49g = -42 + 7g + -7g Combine like terms: 7g + -7g = 0 -49g = -42 + 0 -49g = -42 Divide each side by '-49'. g = 0.8571428571 Simplifying g = 0.8571428571
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