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Simplifying 4(-19g + 1) + 15 = -19g + 19 + 18g Reorder the terms: 4(1 + -19g) + 15 = -19g + 19 + 18g (1 * 4 + -19g * 4) + 15 = -19g + 19 + 18g (4 + -76g) + 15 = -19g + 19 + 18g Reorder the terms: 4 + 15 + -76g = -19g + 19 + 18g Combine like terms: 4 + 15 = 19 19 + -76g = -19g + 19 + 18g Reorder the terms: 19 + -76g = 19 + -19g + 18g Combine like terms: -19g + 18g = -1g 19 + -76g = 19 + -1g Add '-19' to each side of the equation. 19 + -19 + -76g = 19 + -19 + -1g Combine like terms: 19 + -19 = 0 0 + -76g = 19 + -19 + -1g -76g = 19 + -19 + -1g Combine like terms: 19 + -19 = 0 -76g = 0 + -1g -76g = -1g Solving -76g = -1g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add 'g' to each side of the equation. -76g + g = -1g + g Combine like terms: -76g + g = -75g -75g = -1g + g Combine like terms: -1g + g = 0 -75g = 0 Divide each side by '-75'. g = 0 Simplifying g = 0
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