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Simplifying -3(-3g + -7) = -15 + -6(-1g + -6) Reorder the terms: -3(-7 + -3g) = -15 + -6(-1g + -6) (-7 * -3 + -3g * -3) = -15 + -6(-1g + -6) (21 + 9g) = -15 + -6(-1g + -6) Reorder the terms: 21 + 9g = -15 + -6(-6 + -1g) 21 + 9g = -15 + (-6 * -6 + -1g * -6) 21 + 9g = -15 + (36 + 6g) Combine like terms: -15 + 36 = 21 21 + 9g = 21 + 6g Add '-21' to each side of the equation. 21 + -21 + 9g = 21 + -21 + 6g Combine like terms: 21 + -21 = 0 0 + 9g = 21 + -21 + 6g 9g = 21 + -21 + 6g Combine like terms: 21 + -21 = 0 9g = 0 + 6g 9g = 6g Solving 9g = 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. 9g + -6g = 6g + -6g Combine like terms: 9g + -6g = 3g 3g = 6g + -6g Combine like terms: 6g + -6g = 0 3g = 0 Divide each side by '3'. g = 0 Simplifying g = 0
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