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Simplifying 2(5g + -1d) = 2 + -4d Reorder the terms: 2(-1d + 5g) = 2 + -4d (-1d * 2 + 5g * 2) = 2 + -4d (-2d + 10g) = 2 + -4d Solving -2d + 10g = 2 + -4d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '4d' to each side of the equation. -2d + 4d + 10g = 2 + -4d + 4d Combine like terms: -2d + 4d = 2d 2d + 10g = 2 + -4d + 4d Combine like terms: -4d + 4d = 0 2d + 10g = 2 + 0 2d + 10g = 2 Add '-10g' to each side of the equation. 2d + 10g + -10g = 2 + -10g Combine like terms: 10g + -10g = 0 2d + 0 = 2 + -10g 2d = 2 + -10g Divide each side by '2'. d = 1 + -5g Simplifying d = 1 + -5g
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