7(d-5)+8=(3d-5)+1

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Solution for 7(d-5)+8=(3d-5)+1 equation:


Simplifying
7(d + -5) + 8 = (3d + -5) + 1

Reorder the terms:
7(-5 + d) + 8 = (3d + -5) + 1
(-5 * 7 + d * 7) + 8 = (3d + -5) + 1
(-35 + 7d) + 8 = (3d + -5) + 1

Reorder the terms:
-35 + 8 + 7d = (3d + -5) + 1

Combine like terms: -35 + 8 = -27
-27 + 7d = (3d + -5) + 1

Reorder the terms:
-27 + 7d = (-5 + 3d) + 1

Remove parenthesis around (-5 + 3d)
-27 + 7d = -5 + 3d + 1

Reorder the terms:
-27 + 7d = -5 + 1 + 3d

Combine like terms: -5 + 1 = -4
-27 + 7d = -4 + 3d

Solving
-27 + 7d = -4 + 3d

Solving for variable 'd'.

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

Add '-3d' to each side of the equation.
-27 + 7d + -3d = -4 + 3d + -3d

Combine like terms: 7d + -3d = 4d
-27 + 4d = -4 + 3d + -3d

Combine like terms: 3d + -3d = 0
-27 + 4d = -4 + 0
-27 + 4d = -4

Add '27' to each side of the equation.
-27 + 27 + 4d = -4 + 27

Combine like terms: -27 + 27 = 0
0 + 4d = -4 + 27
4d = -4 + 27

Combine like terms: -4 + 27 = 23
4d = 23

Divide each side by '4'.
d = 5.75

Simplifying
d = 5.75

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