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Simplifying 40x(0.12 + -1g) = 2.5x(1 + g) (0.12 * 40x + -1g * 40x) = 2.5x(1 + g) Reorder the terms: (-40gx + 4.8x) = 2.5x(1 + g) (-40gx + 4.8x) = 2.5x(1 + g) -40gx + 4.8x = (1 * 2.5x + g * 2.5x) Reorder the terms: -40gx + 4.8x = (2.5gx + 2.5x) -40gx + 4.8x = (2.5gx + 2.5x) Solving -40gx + 4.8x = 2.5gx + 2.5x Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-2.5gx' to each side of the equation. -40gx + -2.5gx + 4.8x = 2.5gx + -2.5gx + 2.5x Combine like terms: -40gx + -2.5gx = -42.5gx -42.5gx + 4.8x = 2.5gx + -2.5gx + 2.5x Combine like terms: 2.5gx + -2.5gx = 0.0 -42.5gx + 4.8x = 0.0 + 2.5x -42.5gx + 4.8x = 2.5x Add '-4.8x' to each side of the equation. -42.5gx + 4.8x + -4.8x = 2.5x + -4.8x Combine like terms: 4.8x + -4.8x = 0.0 -42.5gx + 0.0 = 2.5x + -4.8x -42.5gx = 2.5x + -4.8x Combine like terms: 2.5x + -4.8x = -2.3x -42.5gx = -2.3x Divide each side by '-42.5x'. g = 0.05411764706 Simplifying g = 0.05411764706
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