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Simplifying 3g + 8(g + -6) = 2 + 14g Reorder the terms: 3g + 8(-6 + g) = 2 + 14g 3g + (-6 * 8 + g * 8) = 2 + 14g 3g + (-48 + 8g) = 2 + 14g Reorder the terms: -48 + 3g + 8g = 2 + 14g Combine like terms: 3g + 8g = 11g -48 + 11g = 2 + 14g Solving -48 + 11g = 2 + 14g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-14g' to each side of the equation. -48 + 11g + -14g = 2 + 14g + -14g Combine like terms: 11g + -14g = -3g -48 + -3g = 2 + 14g + -14g Combine like terms: 14g + -14g = 0 -48 + -3g = 2 + 0 -48 + -3g = 2 Add '48' to each side of the equation. -48 + 48 + -3g = 2 + 48 Combine like terms: -48 + 48 = 0 0 + -3g = 2 + 48 -3g = 2 + 48 Combine like terms: 2 + 48 = 50 -3g = 50 Divide each side by '-3'. g = -16.66666667 Simplifying g = -16.66666667
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