2(21+1)-3d=5(3d-2)+4d

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Solution for 2(21+1)-3d=5(3d-2)+4d equation:


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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