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Simplifying 0.2(0.5g + -5) = 0.5(0.75g + 6) Reorder the terms: 0.2(-5 + 0.5g) = 0.5(0.75g + 6) (-5 * 0.2 + 0.5g * 0.2) = 0.5(0.75g + 6) (-1 + 0.1g) = 0.5(0.75g + 6) Reorder the terms: -1 + 0.1g = 0.5(6 + 0.75g) -1 + 0.1g = (6 * 0.5 + 0.75g * 0.5) -1 + 0.1g = (3 + 0.375g) Solving -1 + 0.1g = 3 + 0.375g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-0.375g' to each side of the equation. -1 + 0.1g + -0.375g = 3 + 0.375g + -0.375g Combine like terms: 0.1g + -0.375g = -0.275g -1 + -0.275g = 3 + 0.375g + -0.375g Combine like terms: 0.375g + -0.375g = 0.000 -1 + -0.275g = 3 + 0.000 -1 + -0.275g = 3 Add '1' to each side of the equation. -1 + 1 + -0.275g = 3 + 1 Combine like terms: -1 + 1 = 0 0 + -0.275g = 3 + 1 -0.275g = 3 + 1 Combine like terms: 3 + 1 = 4 -0.275g = 4 Divide each side by '-0.275'. g = -14.54545455 Simplifying g = -14.54545455
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