6+10d-19=2(3d+4)-1

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Solution for 6+10d-19=2(3d+4)-1 equation: 


Simplifying
6 + 10d + -19 = 2(3d + 4) + -1

Reorder the terms:
6 + -19 + 10d = 2(3d + 4) + -1

Combine like terms: 6 + -19 = -13
-13 + 10d = 2(3d + 4) + -1

Reorder the terms:
-13 + 10d = 2(4 + 3d) + -1
-13 + 10d = (4 * 2 + 3d * 2) + -1
-13 + 10d = (8 + 6d) + -1

Reorder the terms:
-13 + 10d = 8 + -1 + 6d

Combine like terms: 8 + -1 = 7
-13 + 10d = 7 + 6d

Solving
-13 + 10d = 7 + 6d

Solving for variable 'd'.

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

Add '-6d' to each side of the equation.
-13 + 10d + -6d = 7 + 6d + -6d

Combine like terms: 10d + -6d = 4d
-13 + 4d = 7 + 6d + -6d

Combine like terms: 6d + -6d = 0
-13 + 4d = 7 + 0
-13 + 4d = 7

Add '13' to each side of the equation.
-13 + 13 + 4d = 7 + 13

Combine like terms: -13 + 13 = 0
0 + 4d = 7 + 13
4d = 7 + 13

Combine like terms: 7 + 13 = 20
4d = 20

Divide each side by '4'.
d = 5

Simplifying
d = 5

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