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Simplifying 0.3(g + -8) = 0.8(g + -2) Reorder the terms: 0.3(-8 + g) = 0.8(g + -2) (-8 * 0.3 + g * 0.3) = 0.8(g + -2) (-2.4 + 0.3g) = 0.8(g + -2) Reorder the terms: -2.4 + 0.3g = 0.8(-2 + g) -2.4 + 0.3g = (-2 * 0.8 + g * 0.8) -2.4 + 0.3g = (-1.6 + 0.8g) Solving -2.4 + 0.3g = -1.6 + 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. -2.4 + 0.3g + -0.8g = -1.6 + 0.8g + -0.8g Combine like terms: 0.3g + -0.8g = -0.5g -2.4 + -0.5g = -1.6 + 0.8g + -0.8g Combine like terms: 0.8g + -0.8g = 0.0 -2.4 + -0.5g = -1.6 + 0.0 -2.4 + -0.5g = -1.6 Add '2.4' to each side of the equation. -2.4 + 2.4 + -0.5g = -1.6 + 2.4 Combine like terms: -2.4 + 2.4 = 0.0 0.0 + -0.5g = -1.6 + 2.4 -0.5g = -1.6 + 2.4 Combine like terms: -1.6 + 2.4 = 0.8 -0.5g = 0.8 Divide each side by '-0.5'. g = -1.6 Simplifying g = -1.6
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