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Simplifying 8(g + -3) = 6(13 + -1g) Reorder the terms: 8(-3 + g) = 6(13 + -1g) (-3 * 8 + g * 8) = 6(13 + -1g) (-24 + 8g) = 6(13 + -1g) -24 + 8g = (13 * 6 + -1g * 6) -24 + 8g = (78 + -6g) Solving -24 + 8g = 78 + -6g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '6g' to each side of the equation. -24 + 8g + 6g = 78 + -6g + 6g Combine like terms: 8g + 6g = 14g -24 + 14g = 78 + -6g + 6g Combine like terms: -6g + 6g = 0 -24 + 14g = 78 + 0 -24 + 14g = 78 Add '24' to each side of the equation. -24 + 24 + 14g = 78 + 24 Combine like terms: -24 + 24 = 0 0 + 14g = 78 + 24 14g = 78 + 24 Combine like terms: 78 + 24 = 102 14g = 102 Divide each side by '14'. g = 7.285714286 Simplifying g = 7.285714286
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