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Simplifying -7(-5g + -20) + 6 = 4g + -20 + -20 Reorder the terms: -7(-20 + -5g) + 6 = 4g + -20 + -20 (-20 * -7 + -5g * -7) + 6 = 4g + -20 + -20 (140 + 35g) + 6 = 4g + -20 + -20 Reorder the terms: 140 + 6 + 35g = 4g + -20 + -20 Combine like terms: 140 + 6 = 146 146 + 35g = 4g + -20 + -20 Reorder the terms: 146 + 35g = -20 + -20 + 4g Combine like terms: -20 + -20 = -40 146 + 35g = -40 + 4g Solving 146 + 35g = -40 + 4g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-4g' to each side of the equation. 146 + 35g + -4g = -40 + 4g + -4g Combine like terms: 35g + -4g = 31g 146 + 31g = -40 + 4g + -4g Combine like terms: 4g + -4g = 0 146 + 31g = -40 + 0 146 + 31g = -40 Add '-146' to each side of the equation. 146 + -146 + 31g = -40 + -146 Combine like terms: 146 + -146 = 0 0 + 31g = -40 + -146 31g = -40 + -146 Combine like terms: -40 + -146 = -186 31g = -186 Divide each side by '31'. g = -6 Simplifying g = -6
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