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Simplifying -7(-3g + -19) + 11 = 3g Reorder the terms: -7(-19 + -3g) + 11 = 3g (-19 * -7 + -3g * -7) + 11 = 3g (133 + 21g) + 11 = 3g Reorder the terms: 133 + 11 + 21g = 3g Combine like terms: 133 + 11 = 144 144 + 21g = 3g Solving 144 + 21g = 3g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-3g' to each side of the equation. 144 + 21g + -3g = 3g + -3g Combine like terms: 21g + -3g = 18g 144 + 18g = 3g + -3g Combine like terms: 3g + -3g = 0 144 + 18g = 0 Add '-144' to each side of the equation. 144 + -144 + 18g = 0 + -144 Combine like terms: 144 + -144 = 0 0 + 18g = 0 + -144 18g = 0 + -144 Combine like terms: 0 + -144 = -144 18g = -144 Divide each side by '18'. g = -8 Simplifying g = -8
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