4(a-40)=2(a-5)

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Solution for 4(a-40)=2(a-5) equation:


Simplifying
4(a + -40) = 2(a + -5)

Reorder the terms:
4(-40 + a) = 2(a + -5)
(-40 * 4 + a * 4) = 2(a + -5)
(-160 + 4a) = 2(a + -5)

Reorder the terms:
-160 + 4a = 2(-5 + a)
-160 + 4a = (-5 * 2 + a * 2)
-160 + 4a = (-10 + 2a)

Solving
-160 + 4a = -10 + 2a

Solving for variable 'a'.

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

Add '-2a' to each side of the equation.
-160 + 4a + -2a = -10 + 2a + -2a

Combine like terms: 4a + -2a = 2a
-160 + 2a = -10 + 2a + -2a

Combine like terms: 2a + -2a = 0
-160 + 2a = -10 + 0
-160 + 2a = -10

Add '160' to each side of the equation.
-160 + 160 + 2a = -10 + 160

Combine like terms: -160 + 160 = 0
0 + 2a = -10 + 160
2a = -10 + 160

Combine like terms: -10 + 160 = 150
2a = 150

Divide each side by '2'.
a = 75

Simplifying
a = 75

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