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Simplifying 5(g + 7) + -11 = -5(g + 12) Reorder the terms: 5(7 + g) + -11 = -5(g + 12) (7 * 5 + g * 5) + -11 = -5(g + 12) (35 + 5g) + -11 = -5(g + 12) Reorder the terms: 35 + -11 + 5g = -5(g + 12) Combine like terms: 35 + -11 = 24 24 + 5g = -5(g + 12) Reorder the terms: 24 + 5g = -5(12 + g) 24 + 5g = (12 * -5 + g * -5) 24 + 5g = (-60 + -5g) Solving 24 + 5g = -60 + -5g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '5g' to each side of the equation. 24 + 5g + 5g = -60 + -5g + 5g Combine like terms: 5g + 5g = 10g 24 + 10g = -60 + -5g + 5g Combine like terms: -5g + 5g = 0 24 + 10g = -60 + 0 24 + 10g = -60 Add '-24' to each side of the equation. 24 + -24 + 10g = -60 + -24 Combine like terms: 24 + -24 = 0 0 + 10g = -60 + -24 10g = -60 + -24 Combine like terms: -60 + -24 = -84 10g = -84 Divide each side by '10'. g = -8.4 Simplifying g = -8.4
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