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Simplifying 6(3g + 3) = -7(-3 + -14) + -7g Reorder the terms: 6(3 + 3g) = -7(-3 + -14) + -7g (3 * 6 + 3g * 6) = -7(-3 + -14) + -7g (18 + 18g) = -7(-3 + -14) + -7g Combine like terms: -3 + -14 = -17 18 + 18g = -7(-17) + -7g Multiply -7 * -17 18 + 18g = 119 + -7g Solving 18 + 18g = 119 + -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. 18 + 18g + 7g = 119 + -7g + 7g Combine like terms: 18g + 7g = 25g 18 + 25g = 119 + -7g + 7g Combine like terms: -7g + 7g = 0 18 + 25g = 119 + 0 18 + 25g = 119 Add '-18' to each side of the equation. 18 + -18 + 25g = 119 + -18 Combine like terms: 18 + -18 = 0 0 + 25g = 119 + -18 25g = 119 + -18 Combine like terms: 119 + -18 = 101 25g = 101 Divide each side by '25'. g = 4.04 Simplifying g = 4.04
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