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Simplifying g + 5(g + 1) = 4(2g + -2) + 11g Reorder the terms: g + 5(1 + g) = 4(2g + -2) + 11g g + (1 * 5 + g * 5) = 4(2g + -2) + 11g g + (5 + 5g) = 4(2g + -2) + 11g Reorder the terms: 5 + g + 5g = 4(2g + -2) + 11g Combine like terms: g + 5g = 6g 5 + 6g = 4(2g + -2) + 11g Reorder the terms: 5 + 6g = 4(-2 + 2g) + 11g 5 + 6g = (-2 * 4 + 2g * 4) + 11g 5 + 6g = (-8 + 8g) + 11g Combine like terms: 8g + 11g = 19g 5 + 6g = -8 + 19g Solving 5 + 6g = -8 + 19g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-19g' to each side of the equation. 5 + 6g + -19g = -8 + 19g + -19g Combine like terms: 6g + -19g = -13g 5 + -13g = -8 + 19g + -19g Combine like terms: 19g + -19g = 0 5 + -13g = -8 + 0 5 + -13g = -8 Add '-5' to each side of the equation. 5 + -5 + -13g = -8 + -5 Combine like terms: 5 + -5 = 0 0 + -13g = -8 + -5 -13g = -8 + -5 Combine like terms: -8 + -5 = -13 -13g = -13 Divide each side by '-13'. g = 1 Simplifying g = 1
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