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Simplifying 4(g + -7) + 3 = -2(g + 9) + 6 Reorder the terms: 4(-7 + g) + 3 = -2(g + 9) + 6 (-7 * 4 + g * 4) + 3 = -2(g + 9) + 6 (-28 + 4g) + 3 = -2(g + 9) + 6 Reorder the terms: -28 + 3 + 4g = -2(g + 9) + 6 Combine like terms: -28 + 3 = -25 -25 + 4g = -2(g + 9) + 6 Reorder the terms: -25 + 4g = -2(9 + g) + 6 -25 + 4g = (9 * -2 + g * -2) + 6 -25 + 4g = (-18 + -2g) + 6 Reorder the terms: -25 + 4g = -18 + 6 + -2g Combine like terms: -18 + 6 = -12 -25 + 4g = -12 + -2g Solving -25 + 4g = -12 + -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. -25 + 4g + 2g = -12 + -2g + 2g Combine like terms: 4g + 2g = 6g -25 + 6g = -12 + -2g + 2g Combine like terms: -2g + 2g = 0 -25 + 6g = -12 + 0 -25 + 6g = -12 Add '25' to each side of the equation. -25 + 25 + 6g = -12 + 25 Combine like terms: -25 + 25 = 0 0 + 6g = -12 + 25 6g = -12 + 25 Combine like terms: -12 + 25 = 13 6g = 13 Divide each side by '6'. g = 2.166666667 Simplifying g = 2.166666667
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