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Simplifying 4(12g + -8) + -11g = 3(3g + 8) Reorder the terms: 4(-8 + 12g) + -11g = 3(3g + 8) (-8 * 4 + 12g * 4) + -11g = 3(3g + 8) (-32 + 48g) + -11g = 3(3g + 8) Combine like terms: 48g + -11g = 37g -32 + 37g = 3(3g + 8) Reorder the terms: -32 + 37g = 3(8 + 3g) -32 + 37g = (8 * 3 + 3g * 3) -32 + 37g = (24 + 9g) Solving -32 + 37g = 24 + 9g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-9g' to each side of the equation. -32 + 37g + -9g = 24 + 9g + -9g Combine like terms: 37g + -9g = 28g -32 + 28g = 24 + 9g + -9g Combine like terms: 9g + -9g = 0 -32 + 28g = 24 + 0 -32 + 28g = 24 Add '32' to each side of the equation. -32 + 32 + 28g = 24 + 32 Combine like terms: -32 + 32 = 0 0 + 28g = 24 + 32 28g = 24 + 32 Combine like terms: 24 + 32 = 56 28g = 56 Divide each side by '28'. g = 2 Simplifying g = 2
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