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Simplifying 3(2 + 5g) + -10 = -22 + 6g (2 * 3 + 5g * 3) + -10 = -22 + 6g (6 + 15g) + -10 = -22 + 6g Reorder the terms: 6 + -10 + 15g = -22 + 6g Combine like terms: 6 + -10 = -4 -4 + 15g = -22 + 6g Solving -4 + 15g = -22 + 6g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-6g' to each side of the equation. -4 + 15g + -6g = -22 + 6g + -6g Combine like terms: 15g + -6g = 9g -4 + 9g = -22 + 6g + -6g Combine like terms: 6g + -6g = 0 -4 + 9g = -22 + 0 -4 + 9g = -22 Add '4' to each side of the equation. -4 + 4 + 9g = -22 + 4 Combine like terms: -4 + 4 = 0 0 + 9g = -22 + 4 9g = -22 + 4 Combine like terms: -22 + 4 = -18 9g = -18 Divide each side by '9'. g = -2 Simplifying g = -2
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