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Simplifying 0.5(g + -7) = 0.9(g + -4) Reorder the terms: 0.5(-7 + g) = 0.9(g + -4) (-7 * 0.5 + g * 0.5) = 0.9(g + -4) (-3.5 + 0.5g) = 0.9(g + -4) Reorder the terms: -3.5 + 0.5g = 0.9(-4 + g) -3.5 + 0.5g = (-4 * 0.9 + g * 0.9) -3.5 + 0.5g = (-3.6 + 0.9g) Solving -3.5 + 0.5g = -3.6 + 0.9g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-0.9g' to each side of the equation. -3.5 + 0.5g + -0.9g = -3.6 + 0.9g + -0.9g Combine like terms: 0.5g + -0.9g = -0.4g -3.5 + -0.4g = -3.6 + 0.9g + -0.9g Combine like terms: 0.9g + -0.9g = 0.0 -3.5 + -0.4g = -3.6 + 0.0 -3.5 + -0.4g = -3.6 Add '3.5' to each side of the equation. -3.5 + 3.5 + -0.4g = -3.6 + 3.5 Combine like terms: -3.5 + 3.5 = 0.0 0.0 + -0.4g = -3.6 + 3.5 -0.4g = -3.6 + 3.5 Combine like terms: -3.6 + 3.5 = -0.1 -0.4g = -0.1 Divide each side by '-0.4'. g = 0.25 Simplifying g = 0.25
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