2(5d-4)+4(d-4)-2(3d+0)=-16

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Solution for 2(5d-4)+4(d-4)-2(3d+0)=-16 equation:


Simplifying
2(5d + -4) + 4(d + -4) + -2(3d + 0) = -16

Reorder the terms:
2(-4 + 5d) + 4(d + -4) + -2(3d + 0) = -16
(-4 * 2 + 5d * 2) + 4(d + -4) + -2(3d + 0) = -16
(-8 + 10d) + 4(d + -4) + -2(3d + 0) = -16

Reorder the terms:
-8 + 10d + 4(-4 + d) + -2(3d + 0) = -16
-8 + 10d + (-4 * 4 + d * 4) + -2(3d + 0) = -16
-8 + 10d + (-16 + 4d) + -2(3d + 0) = -16

Reorder the terms:
-8 + 10d + -16 + 4d + -2(0 + 3d) = -16
Remove the zero:
-8 + 10d + -16 + 4d + -2(3d) = -16

Remove parenthesis around (3d)
-8 + 10d + -16 + 4d + -2 * 3d = -16

Multiply -2 * 3
-8 + 10d + -16 + 4d + -6d = -16

Reorder the terms:
-8 + -16 + 10d + 4d + -6d = -16

Combine like terms: -8 + -16 = -24
-24 + 10d + 4d + -6d = -16

Combine like terms: 10d + 4d = 14d
-24 + 14d + -6d = -16

Combine like terms: 14d + -6d = 8d
-24 + 8d = -16

Solving
-24 + 8d = -16

Solving for variable 'd'.

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

Add '24' to each side of the equation.
-24 + 24 + 8d = -16 + 24

Combine like terms: -24 + 24 = 0
0 + 8d = -16 + 24
8d = -16 + 24

Combine like terms: -16 + 24 = 8
8d = 8

Divide each side by '8'.
d = 1

Simplifying
d = 1

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