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Simplifying 6(-4 + -2g) = -7(g + -3) (-4 * 6 + -2g * 6) = -7(g + -3) (-24 + -12g) = -7(g + -3) Reorder the terms: -24 + -12g = -7(-3 + g) -24 + -12g = (-3 * -7 + g * -7) -24 + -12g = (21 + -7g) Solving -24 + -12g = 21 + -7g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '7g' to each side of the equation. -24 + -12g + 7g = 21 + -7g + 7g Combine like terms: -12g + 7g = -5g -24 + -5g = 21 + -7g + 7g Combine like terms: -7g + 7g = 0 -24 + -5g = 21 + 0 -24 + -5g = 21 Add '24' to each side of the equation. -24 + 24 + -5g = 21 + 24 Combine like terms: -24 + 24 = 0 0 + -5g = 21 + 24 -5g = 21 + 24 Combine like terms: 21 + 24 = 45 -5g = 45 Divide each side by '-5'. g = -9 Simplifying g = -9
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