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Simplifying 2(21 + 1) + -3d = 5(3d + -2) + 4d Combine like terms: 21 + 1 = 22 2(22) + -3d = 5(3d + -2) + 4d Multiply 2 * 22 44 + -3d = 5(3d + -2) + 4d Reorder the terms: 44 + -3d = 5(-2 + 3d) + 4d 44 + -3d = (-2 * 5 + 3d * 5) + 4d 44 + -3d = (-10 + 15d) + 4d Combine like terms: 15d + 4d = 19d 44 + -3d = -10 + 19d Solving 44 + -3d = -10 + 19d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-19d' to each side of the equation. 44 + -3d + -19d = -10 + 19d + -19d Combine like terms: -3d + -19d = -22d 44 + -22d = -10 + 19d + -19d Combine like terms: 19d + -19d = 0 44 + -22d = -10 + 0 44 + -22d = -10 Add '-44' to each side of the equation. 44 + -44 + -22d = -10 + -44 Combine like terms: 44 + -44 = 0 0 + -22d = -10 + -44 -22d = -10 + -44 Combine like terms: -10 + -44 = -54 -22d = -54 Divide each side by '-22'. d = 2.454545455 Simplifying d = 2.454545455
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