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Simplifying 0.01g + -0.2(3g + 4g) = -0.3(5g + 3) Combine like terms: 3g + 4g = 7g 0.01g + -0.2(7g) = -0.3(5g + 3) Remove parenthesis around (7g) 0.01g + -0.2 * 7g = -0.3(5g + 3) Multiply -0.2 * 7 0.01g + -1.4g = -0.3(5g + 3) Combine like terms: 0.01g + -1.4g = -1.39g -1.39g = -0.3(5g + 3) Reorder the terms: -1.39g = -0.3(3 + 5g) -1.39g = (3 * -0.3 + 5g * -0.3) -1.39g = (-0.9 + -1.5g) Solving -1.39g = -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. -1.39g + 1.5g = -0.9 + -1.5g + 1.5g Combine like terms: -1.39g + 1.5g = 0.11g 0.11g = -0.9 + -1.5g + 1.5g Combine like terms: -1.5g + 1.5g = 0.0 0.11g = -0.9 + 0.0 0.11g = -0.9 Divide each side by '0.11'. g = -8.181818182 Simplifying g = -8.181818182
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