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Simplifying 4(g + -8) = 6(2g + 8) Reorder the terms: 4(-8 + g) = 6(2g + 8) (-8 * 4 + g * 4) = 6(2g + 8) (-32 + 4g) = 6(2g + 8) Reorder the terms: -32 + 4g = 6(8 + 2g) -32 + 4g = (8 * 6 + 2g * 6) -32 + 4g = (48 + 12g) Solving -32 + 4g = 48 + 12g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-12g' to each side of the equation. -32 + 4g + -12g = 48 + 12g + -12g Combine like terms: 4g + -12g = -8g -32 + -8g = 48 + 12g + -12g Combine like terms: 12g + -12g = 0 -32 + -8g = 48 + 0 -32 + -8g = 48 Add '32' to each side of the equation. -32 + 32 + -8g = 48 + 32 Combine like terms: -32 + 32 = 0 0 + -8g = 48 + 32 -8g = 48 + 32 Combine like terms: 48 + 32 = 80 -8g = 80 Divide each side by '-8'. g = -10 Simplifying g = -10
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