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Simplifying h + 1 + 2(h + 1) = 3(h + 2) + 11g Reorder the terms: h + 1 + 2(1 + h) = 3(h + 2) + 11g h + 1 + (1 * 2 + h * 2) = 3(h + 2) + 11g h + 1 + (2 + 2h) = 3(h + 2) + 11g Reorder the terms: 1 + 2 + h + 2h = 3(h + 2) + 11g Combine like terms: 1 + 2 = 3 3 + h + 2h = 3(h + 2) + 11g Combine like terms: h + 2h = 3h 3 + 3h = 3(h + 2) + 11g Reorder the terms: 3 + 3h = 3(2 + h) + 11g 3 + 3h = (2 * 3 + h * 3) + 11g 3 + 3h = (6 + 3h) + 11g Reorder the terms: 3 + 3h = 6 + 11g + 3h Add '-3h' to each side of the equation. 3 + 3h + -3h = 6 + 11g + 3h + -3h Combine like terms: 3h + -3h = 0 3 + 0 = 6 + 11g + 3h + -3h 3 = 6 + 11g + 3h + -3h Combine like terms: 3h + -3h = 0 3 = 6 + 11g + 0 3 = 6 + 11g Solving 3 = 6 + 11g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-11g' to each side of the equation. 3 + -11g = 6 + 11g + -11g Combine like terms: 11g + -11g = 0 3 + -11g = 6 + 0 3 + -11g = 6 Add '-3' to each side of the equation. 3 + -3 + -11g = 6 + -3 Combine like terms: 3 + -3 = 0 0 + -11g = 6 + -3 -11g = 6 + -3 Combine like terms: 6 + -3 = 3 -11g = 3 Divide each side by '-11'. g = -0.2727272727 Simplifying g = -0.2727272727
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