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Simplifying 0.5(g + -9) = 0.7(g + -2) Reorder the terms: 0.5(-9 + g) = 0.7(g + -2) (-9 * 0.5 + g * 0.5) = 0.7(g + -2) (-4.5 + 0.5g) = 0.7(g + -2) Reorder the terms: -4.5 + 0.5g = 0.7(-2 + g) -4.5 + 0.5g = (-2 * 0.7 + g * 0.7) -4.5 + 0.5g = (-1.4 + 0.7g) Solving -4.5 + 0.5g = -1.4 + 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. -4.5 + 0.5g + -0.7g = -1.4 + 0.7g + -0.7g Combine like terms: 0.5g + -0.7g = -0.2g -4.5 + -0.2g = -1.4 + 0.7g + -0.7g Combine like terms: 0.7g + -0.7g = 0.0 -4.5 + -0.2g = -1.4 + 0.0 -4.5 + -0.2g = -1.4 Add '4.5' to each side of the equation. -4.5 + 4.5 + -0.2g = -1.4 + 4.5 Combine like terms: -4.5 + 4.5 = 0.0 0.0 + -0.2g = -1.4 + 4.5 -0.2g = -1.4 + 4.5 Combine like terms: -1.4 + 4.5 = 3.1 -0.2g = 3.1 Divide each side by '-0.2'. g = -15.5 Simplifying g = -15.5
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