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Simplifying 2 + -4d = 2(5 + -1d) 2 + -4d = (5 * 2 + -1d * 2) 2 + -4d = (10 + -2d) Solving 2 + -4d = 10 + -2d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '2d' to each side of the equation. 2 + -4d + 2d = 10 + -2d + 2d Combine like terms: -4d + 2d = -2d 2 + -2d = 10 + -2d + 2d Combine like terms: -2d + 2d = 0 2 + -2d = 10 + 0 2 + -2d = 10 Add '-2' to each side of the equation. 2 + -2 + -2d = 10 + -2 Combine like terms: 2 + -2 = 0 0 + -2d = 10 + -2 -2d = 10 + -2 Combine like terms: 10 + -2 = 8 -2d = 8 Divide each side by '-2'. d = -4 Simplifying d = -4
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