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Simplifying 10(7g + 11) = 10(12g + 2) Reorder the terms: 10(11 + 7g) = 10(12g + 2) (11 * 10 + 7g * 10) = 10(12g + 2) (110 + 70g) = 10(12g + 2) Reorder the terms: 110 + 70g = 10(2 + 12g) 110 + 70g = (2 * 10 + 12g * 10) 110 + 70g = (20 + 120g) Solving 110 + 70g = 20 + 120g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-120g' to each side of the equation. 110 + 70g + -120g = 20 + 120g + -120g Combine like terms: 70g + -120g = -50g 110 + -50g = 20 + 120g + -120g Combine like terms: 120g + -120g = 0 110 + -50g = 20 + 0 110 + -50g = 20 Add '-110' to each side of the equation. 110 + -110 + -50g = 20 + -110 Combine like terms: 110 + -110 = 0 0 + -50g = 20 + -110 -50g = 20 + -110 Combine like terms: 20 + -110 = -90 -50g = -90 Divide each side by '-50'. g = 1.8 Simplifying g = 1.8
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