(2a+32)+(2a+32)+(5a+57)+(5a+57)=360

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Solution for (2a+32)+(2a+32)+(5a+57)+(5a+57)=360 equation:


Simplifying
(2a + 32) + (2a + 32) + (5a + 57) + (5a + 57) = 360

Reorder the terms:
(32 + 2a) + (2a + 32) + (5a + 57) + (5a + 57) = 360

Remove parenthesis around (32 + 2a)
32 + 2a + (2a + 32) + (5a + 57) + (5a + 57) = 360

Reorder the terms:
32 + 2a + (32 + 2a) + (5a + 57) + (5a + 57) = 360

Remove parenthesis around (32 + 2a)
32 + 2a + 32 + 2a + (5a + 57) + (5a + 57) = 360

Reorder the terms:
32 + 2a + 32 + 2a + (57 + 5a) + (5a + 57) = 360

Remove parenthesis around (57 + 5a)
32 + 2a + 32 + 2a + 57 + 5a + (5a + 57) = 360

Reorder the terms:
32 + 2a + 32 + 2a + 57 + 5a + (57 + 5a) = 360

Remove parenthesis around (57 + 5a)
32 + 2a + 32 + 2a + 57 + 5a + 57 + 5a = 360

Reorder the terms:
32 + 32 + 57 + 57 + 2a + 2a + 5a + 5a = 360

Combine like terms: 32 + 32 = 64
64 + 57 + 57 + 2a + 2a + 5a + 5a = 360

Combine like terms: 64 + 57 = 121
121 + 57 + 2a + 2a + 5a + 5a = 360

Combine like terms: 121 + 57 = 178
178 + 2a + 2a + 5a + 5a = 360

Combine like terms: 2a + 2a = 4a
178 + 4a + 5a + 5a = 360

Combine like terms: 4a + 5a = 9a
178 + 9a + 5a = 360

Combine like terms: 9a + 5a = 14a
178 + 14a = 360

Solving
178 + 14a = 360

Solving for variable 'a'.

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

Add '-178' to each side of the equation.
178 + -178 + 14a = 360 + -178

Combine like terms: 178 + -178 = 0
0 + 14a = 360 + -178
14a = 360 + -178

Combine like terms: 360 + -178 = 182
14a = 182

Divide each side by '14'.
a = 13

Simplifying
a = 13

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