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Simplifying 2(5 + -2d) = 3 + -2d (5 * 2 + -2d * 2) = 3 + -2d (10 + -4d) = 3 + -2d Solving 10 + -4d = 3 + -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. 10 + -4d + 2d = 3 + -2d + 2d Combine like terms: -4d + 2d = -2d 10 + -2d = 3 + -2d + 2d Combine like terms: -2d + 2d = 0 10 + -2d = 3 + 0 10 + -2d = 3 Add '-10' to each side of the equation. 10 + -10 + -2d = 3 + -10 Combine like terms: 10 + -10 = 0 0 + -2d = 3 + -10 -2d = 3 + -10 Combine like terms: 3 + -10 = -7 -2d = -7 Divide each side by '-2'. d = 3.5 Simplifying d = 3.5
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