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Simplifying -1(4g + 8) = 5(2g + 4) Reorder the terms: -1(8 + 4g) = 5(2g + 4) (8 * -1 + 4g * -1) = 5(2g + 4) (-8 + -4g) = 5(2g + 4) Reorder the terms: -8 + -4g = 5(4 + 2g) -8 + -4g = (4 * 5 + 2g * 5) -8 + -4g = (20 + 10g) Solving -8 + -4g = 20 + 10g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-10g' to each side of the equation. -8 + -4g + -10g = 20 + 10g + -10g Combine like terms: -4g + -10g = -14g -8 + -14g = 20 + 10g + -10g Combine like terms: 10g + -10g = 0 -8 + -14g = 20 + 0 -8 + -14g = 20 Add '8' to each side of the equation. -8 + 8 + -14g = 20 + 8 Combine like terms: -8 + 8 = 0 0 + -14g = 20 + 8 -14g = 20 + 8 Combine like terms: 20 + 8 = 28 -14g = 28 Divide each side by '-14'. g = -2 Simplifying g = -2
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