a+(4b-22)+(2c+7)=180

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Solution for a+(4b-22)+(2c+7)=180 equation:


Simplifying
a + (4b + -22) + (2c + 7) = 180

Reorder the terms:
a + (-22 + 4b) + (2c + 7) = 180

Remove parenthesis around (-22 + 4b)
a + -22 + 4b + (2c + 7) = 180

Reorder the terms:
a + -22 + 4b + (7 + 2c) = 180

Remove parenthesis around (7 + 2c)
a + -22 + 4b + 7 + 2c = 180

Reorder the terms:
-22 + 7 + a + 4b + 2c = 180

Combine like terms: -22 + 7 = -15
-15 + a + 4b + 2c = 180

Solving
-15 + a + 4b + 2c = 180

Solving for variable 'a'.

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

Add '15' to each side of the equation.
-15 + a + 4b + 15 + 2c = 180 + 15

Reorder the terms:
-15 + 15 + a + 4b + 2c = 180 + 15

Combine like terms: -15 + 15 = 0
0 + a + 4b + 2c = 180 + 15
a + 4b + 2c = 180 + 15

Combine like terms: 180 + 15 = 195
a + 4b + 2c = 195

Add '-4b' to each side of the equation.
a + 4b + -4b + 2c = 195 + -4b

Combine like terms: 4b + -4b = 0
a + 0 + 2c = 195 + -4b
a + 2c = 195 + -4b

Add '-2c' to each side of the equation.
a + 2c + -2c = 195 + -4b + -2c

Combine like terms: 2c + -2c = 0
a + 0 = 195 + -4b + -2c
a = 195 + -4b + -2c

Simplifying
a = 195 + -4b + -2c

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