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Simplifying -5(g + 5) = 8(4 + -3g) Reorder the terms: -5(5 + g) = 8(4 + -3g) (5 * -5 + g * -5) = 8(4 + -3g) (-25 + -5g) = 8(4 + -3g) -25 + -5g = (4 * 8 + -3g * 8) -25 + -5g = (32 + -24g) Solving -25 + -5g = 32 + -24g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '24g' to each side of the equation. -25 + -5g + 24g = 32 + -24g + 24g Combine like terms: -5g + 24g = 19g -25 + 19g = 32 + -24g + 24g Combine like terms: -24g + 24g = 0 -25 + 19g = 32 + 0 -25 + 19g = 32 Add '25' to each side of the equation. -25 + 25 + 19g = 32 + 25 Combine like terms: -25 + 25 = 0 0 + 19g = 32 + 25 19g = 32 + 25 Combine like terms: 32 + 25 = 57 19g = 57 Divide each side by '19'. g = 3 Simplifying g = 3
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