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Simplifying 6(2g + -3) = 5(g + -2) Reorder the terms: 6(-3 + 2g) = 5(g + -2) (-3 * 6 + 2g * 6) = 5(g + -2) (-18 + 12g) = 5(g + -2) Reorder the terms: -18 + 12g = 5(-2 + g) -18 + 12g = (-2 * 5 + g * 5) -18 + 12g = (-10 + 5g) Solving -18 + 12g = -10 + 5g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-5g' to each side of the equation. -18 + 12g + -5g = -10 + 5g + -5g Combine like terms: 12g + -5g = 7g -18 + 7g = -10 + 5g + -5g Combine like terms: 5g + -5g = 0 -18 + 7g = -10 + 0 -18 + 7g = -10 Add '18' to each side of the equation. -18 + 18 + 7g = -10 + 18 Combine like terms: -18 + 18 = 0 0 + 7g = -10 + 18 7g = -10 + 18 Combine like terms: -10 + 18 = 8 7g = 8 Divide each side by '7'. g = 1.142857143 Simplifying g = 1.142857143
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