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Simplifying 0.3(g + -9) = 0.8(g + -3) Reorder the terms: 0.3(-9 + g) = 0.8(g + -3) (-9 * 0.3 + g * 0.3) = 0.8(g + -3) (-2.7 + 0.3g) = 0.8(g + -3) Reorder the terms: -2.7 + 0.3g = 0.8(-3 + g) -2.7 + 0.3g = (-3 * 0.8 + g * 0.8) -2.7 + 0.3g = (-2.4 + 0.8g) Solving -2.7 + 0.3g = -2.4 + 0.8g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-0.8g' to each side of the equation. -2.7 + 0.3g + -0.8g = -2.4 + 0.8g + -0.8g Combine like terms: 0.3g + -0.8g = -0.5g -2.7 + -0.5g = -2.4 + 0.8g + -0.8g Combine like terms: 0.8g + -0.8g = 0.0 -2.7 + -0.5g = -2.4 + 0.0 -2.7 + -0.5g = -2.4 Add '2.7' to each side of the equation. -2.7 + 2.7 + -0.5g = -2.4 + 2.7 Combine like terms: -2.7 + 2.7 = 0.0 0.0 + -0.5g = -2.4 + 2.7 -0.5g = -2.4 + 2.7 Combine like terms: -2.4 + 2.7 = 0.3 -0.5g = 0.3 Divide each side by '-0.5'. g = -0.6 Simplifying g = -0.6
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