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Simplifying 4(g + -8) + 2 = 15g + -1 Reorder the terms: 4(-8 + g) + 2 = 15g + -1 (-8 * 4 + g * 4) + 2 = 15g + -1 (-32 + 4g) + 2 = 15g + -1 Reorder the terms: -32 + 2 + 4g = 15g + -1 Combine like terms: -32 + 2 = -30 -30 + 4g = 15g + -1 Reorder the terms: -30 + 4g = -1 + 15g Solving -30 + 4g = -1 + 15g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-15g' to each side of the equation. -30 + 4g + -15g = -1 + 15g + -15g Combine like terms: 4g + -15g = -11g -30 + -11g = -1 + 15g + -15g Combine like terms: 15g + -15g = 0 -30 + -11g = -1 + 0 -30 + -11g = -1 Add '30' to each side of the equation. -30 + 30 + -11g = -1 + 30 Combine like terms: -30 + 30 = 0 0 + -11g = -1 + 30 -11g = -1 + 30 Combine like terms: -1 + 30 = 29 -11g = 29 Divide each side by '-11'. g = -2.636363636 Simplifying g = -2.636363636
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