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Simplifying 3g + 8(2g + -6) = 2 + 14g Reorder the terms: 3g + 8(-6 + 2g) = 2 + 14g 3g + (-6 * 8 + 2g * 8) = 2 + 14g 3g + (-48 + 16g) = 2 + 14g Reorder the terms: -48 + 3g + 16g = 2 + 14g Combine like terms: 3g + 16g = 19g -48 + 19g = 2 + 14g Solving -48 + 19g = 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 + 19g + -14g = 2 + 14g + -14g Combine like terms: 19g + -14g = 5g -48 + 5g = 2 + 14g + -14g Combine like terms: 14g + -14g = 0 -48 + 5g = 2 + 0 -48 + 5g = 2 Add '48' to each side of the equation. -48 + 48 + 5g = 2 + 48 Combine like terms: -48 + 48 = 0 0 + 5g = 2 + 48 5g = 2 + 48 Combine like terms: 2 + 48 = 50 5g = 50 Divide each side by '5'. g = 10 Simplifying g = 10
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