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Simplifying 3 + -1(d + -2) = 2(-3d + 11) Reorder the terms: 3 + -1(-2 + d) = 2(-3d + 11) 3 + (-2 * -1 + d * -1) = 2(-3d + 11) 3 + (2 + -1d) = 2(-3d + 11) Combine like terms: 3 + 2 = 5 5 + -1d = 2(-3d + 11) Reorder the terms: 5 + -1d = 2(11 + -3d) 5 + -1d = (11 * 2 + -3d * 2) 5 + -1d = (22 + -6d) Solving 5 + -1d = 22 + -6d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '6d' to each side of the equation. 5 + -1d + 6d = 22 + -6d + 6d Combine like terms: -1d + 6d = 5d 5 + 5d = 22 + -6d + 6d Combine like terms: -6d + 6d = 0 5 + 5d = 22 + 0 5 + 5d = 22 Add '-5' to each side of the equation. 5 + -5 + 5d = 22 + -5 Combine like terms: 5 + -5 = 0 0 + 5d = 22 + -5 5d = 22 + -5 Combine like terms: 22 + -5 = 17 5d = 17 Divide each side by '5'. d = 3.4 Simplifying d = 3.4
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