4(d-9)+3(2d+8)=33

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Solution for 4(d-9)+3(2d+8)=33 equation: 


Simplifying
4(d + -9) + 3(2d + 8) = 33

Reorder the terms:
4(-9 + d) + 3(2d + 8) = 33
(-9 * 4 + d * 4) + 3(2d + 8) = 33
(-36 + 4d) + 3(2d + 8) = 33

Reorder the terms:
-36 + 4d + 3(8 + 2d) = 33
-36 + 4d + (8 * 3 + 2d * 3) = 33
-36 + 4d + (24 + 6d) = 33

Reorder the terms:
-36 + 24 + 4d + 6d = 33

Combine like terms: -36 + 24 = -12
-12 + 4d + 6d = 33

Combine like terms: 4d + 6d = 10d
-12 + 10d = 33

Solving
-12 + 10d = 33

Solving for variable 'd'.

Move all terms containing d to the left, all other terms to the right.

Add '12' to each side of the equation.
-12 + 12 + 10d = 33 + 12

Combine like terms: -12 + 12 = 0
0 + 10d = 33 + 12
10d = 33 + 12

Combine like terms: 33 + 12 = 45
10d = 45

Divide each side by '10'.
d = 4.5

Simplifying
d = 4.5

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