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Simplifying -4(g + -7) + 3 = 2(g + 14) + 3 Reorder the terms: -4(-7 + g) + 3 = 2(g + 14) + 3 (-7 * -4 + g * -4) + 3 = 2(g + 14) + 3 (28 + -4g) + 3 = 2(g + 14) + 3 Reorder the terms: 28 + 3 + -4g = 2(g + 14) + 3 Combine like terms: 28 + 3 = 31 31 + -4g = 2(g + 14) + 3 Reorder the terms: 31 + -4g = 2(14 + g) + 3 31 + -4g = (14 * 2 + g * 2) + 3 31 + -4g = (28 + 2g) + 3 Reorder the terms: 31 + -4g = 28 + 3 + 2g Combine like terms: 28 + 3 = 31 31 + -4g = 31 + 2g Add '-31' to each side of the equation. 31 + -31 + -4g = 31 + -31 + 2g Combine like terms: 31 + -31 = 0 0 + -4g = 31 + -31 + 2g -4g = 31 + -31 + 2g Combine like terms: 31 + -31 = 0 -4g = 0 + 2g -4g = 2g Solving -4g = 2g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-2g' to each side of the equation. -4g + -2g = 2g + -2g Combine like terms: -4g + -2g = -6g -6g = 2g + -2g Combine like terms: 2g + -2g = 0 -6g = 0 Divide each side by '-6'. g = 0 Simplifying g = 0
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