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Simplifying 0.5(6g + -2) + -0.25 = -5g + -0.75 Reorder the terms: 0.5(-2 + 6g) + -0.25 = -5g + -0.75 (-2 * 0.5 + 6g * 0.5) + -0.25 = -5g + -0.75 (-1 + 3g) + -0.25 = -5g + -0.75 Reorder the terms: -1 + -0.25 + 3g = -5g + -0.75 Combine like terms: -1 + -0.25 = -1.25 -1.25 + 3g = -5g + -0.75 Reorder the terms: -1.25 + 3g = -0.75 + -5g Solving -1.25 + 3g = -0.75 + -5g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '5g' to each side of the equation. -1.25 + 3g + 5g = -0.75 + -5g + 5g Combine like terms: 3g + 5g = 8g -1.25 + 8g = -0.75 + -5g + 5g Combine like terms: -5g + 5g = 0 -1.25 + 8g = -0.75 + 0 -1.25 + 8g = -0.75 Add '1.25' to each side of the equation. -1.25 + 1.25 + 8g = -0.75 + 1.25 Combine like terms: -1.25 + 1.25 = 0.00 0.00 + 8g = -0.75 + 1.25 8g = -0.75 + 1.25 Combine like terms: -0.75 + 1.25 = 0.5 8g = 0.5 Divide each side by '8'. g = 0.0625 Simplifying g = 0.0625
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