2(a-4)+3(a-2)=151

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Solution for 2(a-4)+3(a-2)=151 equation: 


Simplifying
2(a + -4) + 3(a + -2) = 151

Reorder the terms:
2(-4 + a) + 3(a + -2) = 151
(-4 * 2 + a * 2) + 3(a + -2) = 151
(-8 + 2a) + 3(a + -2) = 151

Reorder the terms:
-8 + 2a + 3(-2 + a) = 151
-8 + 2a + (-2 * 3 + a * 3) = 151
-8 + 2a + (-6 + 3a) = 151

Reorder the terms:
-8 + -6 + 2a + 3a = 151

Combine like terms: -8 + -6 = -14
-14 + 2a + 3a = 151

Combine like terms: 2a + 3a = 5a
-14 + 5a = 151

Solving
-14 + 5a = 151

Solving for variable 'a'.

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

Add '14' to each side of the equation.
-14 + 14 + 5a = 151 + 14

Combine like terms: -14 + 14 = 0
0 + 5a = 151 + 14
5a = 151 + 14

Combine like terms: 151 + 14 = 165
5a = 165

Divide each side by '5'.
a = 33

Simplifying
a = 33

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