7(v+3)+4v+5=7v+9

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Solution for 7(v+3)+4v+5=7v+9 equation:


Simplifying
7(v + 3) + 4v + 5 = 7v + 9

Reorder the terms:
7(3 + v) + 4v + 5 = 7v + 9
(3 * 7 + v * 7) + 4v + 5 = 7v + 9
(21 + 7v) + 4v + 5 = 7v + 9

Reorder the terms:
21 + 5 + 7v + 4v = 7v + 9

Combine like terms: 21 + 5 = 26
26 + 7v + 4v = 7v + 9

Combine like terms: 7v + 4v = 11v
26 + 11v = 7v + 9

Reorder the terms:
26 + 11v = 9 + 7v

Solving
26 + 11v = 9 + 7v

Solving for variable 'v'.

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

Add '-7v' to each side of the equation.
26 + 11v + -7v = 9 + 7v + -7v

Combine like terms: 11v + -7v = 4v
26 + 4v = 9 + 7v + -7v

Combine like terms: 7v + -7v = 0
26 + 4v = 9 + 0
26 + 4v = 9

Add '-26' to each side of the equation.
26 + -26 + 4v = 9 + -26

Combine like terms: 26 + -26 = 0
0 + 4v = 9 + -26
4v = 9 + -26

Combine like terms: 9 + -26 = -17
4v = -17

Divide each side by '4'.
v = -4.25

Simplifying
v = -4.25

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