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Simplifying 10 + -0.6(g + -3) = 0.5(g + -3) Reorder the terms: 10 + -0.6(-3 + g) = 0.5(g + -3) 10 + (-3 * -0.6 + g * -0.6) = 0.5(g + -3) 10 + (1.8 + -0.6g) = 0.5(g + -3) Combine like terms: 10 + 1.8 = 11.8 11.8 + -0.6g = 0.5(g + -3) Reorder the terms: 11.8 + -0.6g = 0.5(-3 + g) 11.8 + -0.6g = (-3 * 0.5 + g * 0.5) 11.8 + -0.6g = (-1.5 + 0.5g) Solving 11.8 + -0.6g = -1.5 + 0.5g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-0.5g' to each side of the equation. 11.8 + -0.6g + -0.5g = -1.5 + 0.5g + -0.5g Combine like terms: -0.6g + -0.5g = -1.1g 11.8 + -1.1g = -1.5 + 0.5g + -0.5g Combine like terms: 0.5g + -0.5g = 0.0 11.8 + -1.1g = -1.5 + 0.0 11.8 + -1.1g = -1.5 Add '-11.8' to each side of the equation. 11.8 + -11.8 + -1.1g = -1.5 + -11.8 Combine like terms: 11.8 + -11.8 = 0.0 0.0 + -1.1g = -1.5 + -11.8 -1.1g = -1.5 + -11.8 Combine like terms: -1.5 + -11.8 = -13.3 -1.1g = -13.3 Divide each side by '-1.1'. g = 12.09090909 Simplifying g = 12.09090909
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