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Simplifying 2d + -1 = 2 + -1(4d + -15) Reorder the terms: -1 + 2d = 2 + -1(4d + -15) Reorder the terms: -1 + 2d = 2 + -1(-15 + 4d) -1 + 2d = 2 + (-15 * -1 + 4d * -1) -1 + 2d = 2 + (15 + -4d) Combine like terms: 2 + 15 = 17 -1 + 2d = 17 + -4d Solving -1 + 2d = 17 + -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. -1 + 2d + 4d = 17 + -4d + 4d Combine like terms: 2d + 4d = 6d -1 + 6d = 17 + -4d + 4d Combine like terms: -4d + 4d = 0 -1 + 6d = 17 + 0 -1 + 6d = 17 Add '1' to each side of the equation. -1 + 1 + 6d = 17 + 1 Combine like terms: -1 + 1 = 0 0 + 6d = 17 + 1 6d = 17 + 1 Combine like terms: 17 + 1 = 18 6d = 18 Divide each side by '6'. d = 3 Simplifying d = 3
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