11(3v-7)-(-5v-4)-16=48

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Solution for 11(3v-7)-(-5v-4)-16=48 equation:


Simplifying
11(3v + -7) + -1(-5v + -4) + -16 = 48

Reorder the terms:
11(-7 + 3v) + -1(-5v + -4) + -16 = 48
(-7 * 11 + 3v * 11) + -1(-5v + -4) + -16 = 48
(-77 + 33v) + -1(-5v + -4) + -16 = 48

Reorder the terms:
-77 + 33v + -1(-4 + -5v) + -16 = 48
-77 + 33v + (-4 * -1 + -5v * -1) + -16 = 48
-77 + 33v + (4 + 5v) + -16 = 48

Reorder the terms:
-77 + 4 + -16 + 33v + 5v = 48

Combine like terms: -77 + 4 = -73
-73 + -16 + 33v + 5v = 48

Combine like terms: -73 + -16 = -89
-89 + 33v + 5v = 48

Combine like terms: 33v + 5v = 38v
-89 + 38v = 48

Solving
-89 + 38v = 48

Solving for variable 'v'.

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

Add '89' to each side of the equation.
-89 + 89 + 38v = 48 + 89

Combine like terms: -89 + 89 = 0
0 + 38v = 48 + 89
38v = 48 + 89

Combine like terms: 48 + 89 = 137
38v = 137

Divide each side by '38'.
v = 3.605263158

Simplifying
v = 3.605263158

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