7(d+2)-(2d+1)=21

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Solution for 7(d+2)-(2d+1)=21 equation:


Simplifying
7(d + 2) + -1(2d + 1) = 21

Reorder the terms:
7(2 + d) + -1(2d + 1) = 21
(2 * 7 + d * 7) + -1(2d + 1) = 21
(14 + 7d) + -1(2d + 1) = 21

Reorder the terms:
14 + 7d + -1(1 + 2d) = 21
14 + 7d + (1 * -1 + 2d * -1) = 21
14 + 7d + (-1 + -2d) = 21

Reorder the terms:
14 + -1 + 7d + -2d = 21

Combine like terms: 14 + -1 = 13
13 + 7d + -2d = 21

Combine like terms: 7d + -2d = 5d
13 + 5d = 21

Solving
13 + 5d = 21

Solving for variable 'd'.

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

Add '-13' to each side of the equation.
13 + -13 + 5d = 21 + -13

Combine like terms: 13 + -13 = 0
0 + 5d = 21 + -13
5d = 21 + -13

Combine like terms: 21 + -13 = 8
5d = 8

Divide each side by '5'.
d = 1.6

Simplifying
d = 1.6

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