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Simplifying 0.5(g + -7) = 0.7(g + -5) Reorder the terms: 0.5(-7 + g) = 0.7(g + -5) (-7 * 0.5 + g * 0.5) = 0.7(g + -5) (-3.5 + 0.5g) = 0.7(g + -5) Reorder the terms: -3.5 + 0.5g = 0.7(-5 + g) -3.5 + 0.5g = (-5 * 0.7 + g * 0.7) -3.5 + 0.5g = (-3.5 + 0.7g) Add '3.5' to each side of the equation. -3.5 + 3.5 + 0.5g = -3.5 + 3.5 + 0.7g Combine like terms: -3.5 + 3.5 = 0.0 0.0 + 0.5g = -3.5 + 3.5 + 0.7g 0.5g = -3.5 + 3.5 + 0.7g Combine like terms: -3.5 + 3.5 = 0.0 0.5g = 0.0 + 0.7g 0.5g = 0.7g Solving 0.5g = 0.7g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-0.7g' to each side of the equation. 0.5g + -0.7g = 0.7g + -0.7g Combine like terms: 0.5g + -0.7g = -0.2g -0.2g = 0.7g + -0.7g Combine like terms: 0.7g + -0.7g = 0.0 -0.2g = 0.0 Divide each side by '-0.2'. g = 0 Simplifying g = 0
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