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Simplifying -4(3g + 19) = 20 + 4g Reorder the terms: -4(19 + 3g) = 20 + 4g (19 * -4 + 3g * -4) = 20 + 4g (-76 + -12g) = 20 + 4g Solving -76 + -12g = 20 + 4g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-4g' to each side of the equation. -76 + -12g + -4g = 20 + 4g + -4g Combine like terms: -12g + -4g = -16g -76 + -16g = 20 + 4g + -4g Combine like terms: 4g + -4g = 0 -76 + -16g = 20 + 0 -76 + -16g = 20 Add '76' to each side of the equation. -76 + 76 + -16g = 20 + 76 Combine like terms: -76 + 76 = 0 0 + -16g = 20 + 76 -16g = 20 + 76 Combine like terms: 20 + 76 = 96 -16g = 96 Divide each side by '-16'. g = -6 Simplifying g = -6
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