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Simplifying 3d + -2 = 5 + -1(-2d + -3) Reorder the terms: -2 + 3d = 5 + -1(-2d + -3) Reorder the terms: -2 + 3d = 5 + -1(-3 + -2d) -2 + 3d = 5 + (-3 * -1 + -2d * -1) -2 + 3d = 5 + (3 + 2d) Combine like terms: 5 + 3 = 8 -2 + 3d = 8 + 2d Solving -2 + 3d = 8 + 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 + 3d + -2d = 8 + 2d + -2d Combine like terms: 3d + -2d = 1d -2 + 1d = 8 + 2d + -2d Combine like terms: 2d + -2d = 0 -2 + 1d = 8 + 0 -2 + 1d = 8 Add '2' to each side of the equation. -2 + 2 + 1d = 8 + 2 Combine like terms: -2 + 2 = 0 0 + 1d = 8 + 2 1d = 8 + 2 Combine like terms: 8 + 2 = 10 1d = 10 Divide each side by '1'. d = 10 Simplifying d = 10
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