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Simplifying g + (5g + 1) = 4(2g + -2) + 11g Reorder the terms: g + (1 + 5g) = 4(2g + -2) + 11g Remove parenthesis around (1 + 5g) g + 1 + 5g = 4(2g + -2) + 11g Reorder the terms: 1 + g + 5g = 4(2g + -2) + 11g Combine like terms: g + 5g = 6g 1 + 6g = 4(2g + -2) + 11g Reorder the terms: 1 + 6g = 4(-2 + 2g) + 11g 1 + 6g = (-2 * 4 + 2g * 4) + 11g 1 + 6g = (-8 + 8g) + 11g Combine like terms: 8g + 11g = 19g 1 + 6g = -8 + 19g Solving 1 + 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. 1 + 6g + -19g = -8 + 19g + -19g Combine like terms: 6g + -19g = -13g 1 + -13g = -8 + 19g + -19g Combine like terms: 19g + -19g = 0 1 + -13g = -8 + 0 1 + -13g = -8 Add '-1' to each side of the equation. 1 + -1 + -13g = -8 + -1 Combine like terms: 1 + -1 = 0 0 + -13g = -8 + -1 -13g = -8 + -1 Combine like terms: -8 + -1 = -9 -13g = -9 Divide each side by '-13'. g = 0.6923076923 Simplifying g = 0.6923076923
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