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Simplifying -2(3 + -5d) + 1 = 2d + -1 (3 * -2 + -5d * -2) + 1 = 2d + -1 (-6 + 10d) + 1 = 2d + -1 Reorder the terms: -6 + 1 + 10d = 2d + -1 Combine like terms: -6 + 1 = -5 -5 + 10d = 2d + -1 Reorder the terms: -5 + 10d = -1 + 2d Solving -5 + 10d = -1 + 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. -5 + 10d + -2d = -1 + 2d + -2d Combine like terms: 10d + -2d = 8d -5 + 8d = -1 + 2d + -2d Combine like terms: 2d + -2d = 0 -5 + 8d = -1 + 0 -5 + 8d = -1 Add '5' to each side of the equation. -5 + 5 + 8d = -1 + 5 Combine like terms: -5 + 5 = 0 0 + 8d = -1 + 5 8d = -1 + 5 Combine like terms: -1 + 5 = 4 8d = 4 Divide each side by '8'. d = 0.5 Simplifying d = 0.5
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