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Simplifying 4(g + 6) + -2(g + 5) + -5(g + 3g) = 0 Reorder the terms: 4(6 + g) + -2(g + 5) + -5(g + 3g) = 0 (6 * 4 + g * 4) + -2(g + 5) + -5(g + 3g) = 0 (24 + 4g) + -2(g + 5) + -5(g + 3g) = 0 Reorder the terms: 24 + 4g + -2(5 + g) + -5(g + 3g) = 0 24 + 4g + (5 * -2 + g * -2) + -5(g + 3g) = 0 24 + 4g + (-10 + -2g) + -5(g + 3g) = 0 Combine like terms: g + 3g = 4g 24 + 4g + -10 + -2g + -5(4g) = 0 Remove parenthesis around (4g) 24 + 4g + -10 + -2g + -5 * 4g = 0 Multiply -5 * 4 24 + 4g + -10 + -2g + -20g = 0 Reorder the terms: 24 + -10 + 4g + -2g + -20g = 0 Combine like terms: 24 + -10 = 14 14 + 4g + -2g + -20g = 0 Combine like terms: 4g + -2g = 2g 14 + 2g + -20g = 0 Combine like terms: 2g + -20g = -18g 14 + -18g = 0 Solving 14 + -18g = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -18g = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -18g = 0 + -14 -18g = 0 + -14 Combine like terms: 0 + -14 = -14 -18g = -14 Divide each side by '-18'. g = 0.7777777778 Simplifying g = 0.7777777778
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