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Simplifying 7 + -0.5(g + -13) = 0.6(9g + -13) Reorder the terms: 7 + -0.5(-13 + g) = 0.6(9g + -13) 7 + (-13 * -0.5 + g * -0.5) = 0.6(9g + -13) 7 + (6.5 + -0.5g) = 0.6(9g + -13) Combine like terms: 7 + 6.5 = 13.5 13.5 + -0.5g = 0.6(9g + -13) Reorder the terms: 13.5 + -0.5g = 0.6(-13 + 9g) 13.5 + -0.5g = (-13 * 0.6 + 9g * 0.6) 13.5 + -0.5g = (-7.8 + 5.4g) Solving 13.5 + -0.5g = -7.8 + 5.4g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-5.4g' to each side of the equation. 13.5 + -0.5g + -5.4g = -7.8 + 5.4g + -5.4g Combine like terms: -0.5g + -5.4g = -5.9g 13.5 + -5.9g = -7.8 + 5.4g + -5.4g Combine like terms: 5.4g + -5.4g = 0.0 13.5 + -5.9g = -7.8 + 0.0 13.5 + -5.9g = -7.8 Add '-13.5' to each side of the equation. 13.5 + -13.5 + -5.9g = -7.8 + -13.5 Combine like terms: 13.5 + -13.5 = 0.0 0.0 + -5.9g = -7.8 + -13.5 -5.9g = -7.8 + -13.5 Combine like terms: -7.8 + -13.5 = -21.3 -5.9g = -21.3 Divide each side by '-5.9'. g = 3.610169492 Simplifying g = 3.610169492
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