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Simplifying 19 + 3d = -4(9d + 5) Reorder the terms: 19 + 3d = -4(5 + 9d) 19 + 3d = (5 * -4 + 9d * -4) 19 + 3d = (-20 + -36d) Solving 19 + 3d = -20 + -36d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '36d' to each side of the equation. 19 + 3d + 36d = -20 + -36d + 36d Combine like terms: 3d + 36d = 39d 19 + 39d = -20 + -36d + 36d Combine like terms: -36d + 36d = 0 19 + 39d = -20 + 0 19 + 39d = -20 Add '-19' to each side of the equation. 19 + -19 + 39d = -20 + -19 Combine like terms: 19 + -19 = 0 0 + 39d = -20 + -19 39d = -20 + -19 Combine like terms: -20 + -19 = -39 39d = -39 Divide each side by '39'. d = -1 Simplifying d = -1
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