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Simplifying 4g + -5(2g + 4) + 22 = 6(g + 2) Reorder the terms: 4g + -5(4 + 2g) + 22 = 6(g + 2) 4g + (4 * -5 + 2g * -5) + 22 = 6(g + 2) 4g + (-20 + -10g) + 22 = 6(g + 2) Reorder the terms: -20 + 22 + 4g + -10g = 6(g + 2) Combine like terms: -20 + 22 = 2 2 + 4g + -10g = 6(g + 2) Combine like terms: 4g + -10g = -6g 2 + -6g = 6(g + 2) Reorder the terms: 2 + -6g = 6(2 + g) 2 + -6g = (2 * 6 + g * 6) 2 + -6g = (12 + 6g) Solving 2 + -6g = 12 + 6g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-6g' to each side of the equation. 2 + -6g + -6g = 12 + 6g + -6g Combine like terms: -6g + -6g = -12g 2 + -12g = 12 + 6g + -6g Combine like terms: 6g + -6g = 0 2 + -12g = 12 + 0 2 + -12g = 12 Add '-2' to each side of the equation. 2 + -2 + -12g = 12 + -2 Combine like terms: 2 + -2 = 0 0 + -12g = 12 + -2 -12g = 12 + -2 Combine like terms: 12 + -2 = 10 -12g = 10 Divide each side by '-12'. g = -0.8333333333 Simplifying g = -0.8333333333
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