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Simplifying 0.1g + -0.2(3g + 4) = -0.3(5g + 3) Reorder the terms: 0.1g + -0.2(4 + 3g) = -0.3(5g + 3) 0.1g + (4 * -0.2 + 3g * -0.2) = -0.3(5g + 3) 0.1g + (-0.8 + -0.6g) = -0.3(5g + 3) Reorder the terms: -0.8 + 0.1g + -0.6g = -0.3(5g + 3) Combine like terms: 0.1g + -0.6g = -0.5g -0.8 + -0.5g = -0.3(5g + 3) Reorder the terms: -0.8 + -0.5g = -0.3(3 + 5g) -0.8 + -0.5g = (3 * -0.3 + 5g * -0.3) -0.8 + -0.5g = (-0.9 + -1.5g) Solving -0.8 + -0.5g = -0.9 + -1.5g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '1.5g' to each side of the equation. -0.8 + -0.5g + 1.5g = -0.9 + -1.5g + 1.5g Combine like terms: -0.5g + 1.5g = 1g -0.8 + 1g = -0.9 + -1.5g + 1.5g Combine like terms: -1.5g + 1.5g = 0.0 -0.8 + 1g = -0.9 + 0.0 -0.8 + 1g = -0.9 Add '0.8' to each side of the equation. -0.8 + 0.8 + 1g = -0.9 + 0.8 Combine like terms: -0.8 + 0.8 = 0.0 0.0 + 1g = -0.9 + 0.8 1g = -0.9 + 0.8 Combine like terms: -0.9 + 0.8 = -0.1 1g = -0.1 Divide each side by '1'. g = -0.1 Simplifying g = -0.1
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