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Simplifying 2d + 3 = 4(d + 5) + 3 Reorder the terms: 3 + 2d = 4(d + 5) + 3 Reorder the terms: 3 + 2d = 4(5 + d) + 3 3 + 2d = (5 * 4 + d * 4) + 3 3 + 2d = (20 + 4d) + 3 Reorder the terms: 3 + 2d = 20 + 3 + 4d Combine like terms: 20 + 3 = 23 3 + 2d = 23 + 4d Solving 3 + 2d = 23 + 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. 3 + 2d + -4d = 23 + 4d + -4d Combine like terms: 2d + -4d = -2d 3 + -2d = 23 + 4d + -4d Combine like terms: 4d + -4d = 0 3 + -2d = 23 + 0 3 + -2d = 23 Add '-3' to each side of the equation. 3 + -3 + -2d = 23 + -3 Combine like terms: 3 + -3 = 0 0 + -2d = 23 + -3 -2d = 23 + -3 Combine like terms: 23 + -3 = 20 -2d = 20 Divide each side by '-2'. d = -10 Simplifying d = -10
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