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Simplifying 3d + -2 = 5 + -2(-2d + -3) Reorder the terms: -2 + 3d = 5 + -2(-2d + -3) Reorder the terms: -2 + 3d = 5 + -2(-3 + -2d) -2 + 3d = 5 + (-3 * -2 + -2d * -2) -2 + 3d = 5 + (6 + 4d) Combine like terms: 5 + 6 = 11 -2 + 3d = 11 + 4d Solving -2 + 3d = 11 + 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. -2 + 3d + -4d = 11 + 4d + -4d Combine like terms: 3d + -4d = -1d -2 + -1d = 11 + 4d + -4d Combine like terms: 4d + -4d = 0 -2 + -1d = 11 + 0 -2 + -1d = 11 Add '2' to each side of the equation. -2 + 2 + -1d = 11 + 2 Combine like terms: -2 + 2 = 0 0 + -1d = 11 + 2 -1d = 11 + 2 Combine like terms: 11 + 2 = 13 -1d = 13 Divide each side by '-1'. d = -13 Simplifying d = -13
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