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