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Simplifying 3(4g + -1) + -2g = 11(g + 1) Reorder the terms: 3(-1 + 4g) + -2g = 11(g + 1) (-1 * 3 + 4g * 3) + -2g = 11(g + 1) (-3 + 12g) + -2g = 11(g + 1) Combine like terms: 12g + -2g = 10g -3 + 10g = 11(g + 1) Reorder the terms: -3 + 10g = 11(1 + g) -3 + 10g = (1 * 11 + g * 11) -3 + 10g = (11 + 11g) Solving -3 + 10g = 11 + 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 + 10g + -11g = 11 + 11g + -11g Combine like terms: 10g + -11g = -1g -3 + -1g = 11 + 11g + -11g Combine like terms: 11g + -11g = 0 -3 + -1g = 11 + 0 -3 + -1g = 11 Add '3' to each side of the equation. -3 + 3 + -1g = 11 + 3 Combine like terms: -3 + 3 = 0 0 + -1g = 11 + 3 -1g = 11 + 3 Combine like terms: 11 + 3 = 14 -1g = 14 Divide each side by '-1'. g = -14 Simplifying g = -14
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