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Simplifying 0.5(g + -9) = 0.6(g + -5) Reorder the terms: 0.5(-9 + g) = 0.6(g + -5) (-9 * 0.5 + g * 0.5) = 0.6(g + -5) (-4.5 + 0.5g) = 0.6(g + -5) Reorder the terms: -4.5 + 0.5g = 0.6(-5 + g) -4.5 + 0.5g = (-5 * 0.6 + g * 0.6) -4.5 + 0.5g = (-3 + 0.6g) Solving -4.5 + 0.5g = -3 + 0.6g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-0.6g' to each side of the equation. -4.5 + 0.5g + -0.6g = -3 + 0.6g + -0.6g Combine like terms: 0.5g + -0.6g = -0.1g -4.5 + -0.1g = -3 + 0.6g + -0.6g Combine like terms: 0.6g + -0.6g = 0.0 -4.5 + -0.1g = -3 + 0.0 -4.5 + -0.1g = -3 Add '4.5' to each side of the equation. -4.5 + 4.5 + -0.1g = -3 + 4.5 Combine like terms: -4.5 + 4.5 = 0.0 0.0 + -0.1g = -3 + 4.5 -0.1g = -3 + 4.5 Combine like terms: -3 + 4.5 = 1.5 -0.1g = 1.5 Divide each side by '-0.1'. g = -15 Simplifying g = -15
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