50=-2(a-2)+4(5a+7)

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Solution for 50=-2(a-2)+4(5a+7) equation: 


Simplifying
50 = -2(a + -2) + 4(5a + 7)

Reorder the terms:
50 = -2(-2 + a) + 4(5a + 7)
50 = (-2 * -2 + a * -2) + 4(5a + 7)
50 = (4 + -2a) + 4(5a + 7)

Reorder the terms:
50 = 4 + -2a + 4(7 + 5a)
50 = 4 + -2a + (7 * 4 + 5a * 4)
50 = 4 + -2a + (28 + 20a)

Reorder the terms:
50 = 4 + 28 + -2a + 20a

Combine like terms: 4 + 28 = 32
50 = 32 + -2a + 20a

Combine like terms: -2a + 20a = 18a
50 = 32 + 18a

Solving
50 = 32 + 18a

Solving for variable 'a'.

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

Add '-18a' to each side of the equation.
50 + -18a = 32 + 18a + -18a

Combine like terms: 18a + -18a = 0
50 + -18a = 32 + 0
50 + -18a = 32

Add '-50' to each side of the equation.
50 + -50 + -18a = 32 + -50

Combine like terms: 50 + -50 = 0
0 + -18a = 32 + -50
-18a = 32 + -50

Combine like terms: 32 + -50 = -18
-18a = -18

Divide each side by '-18'.
a = 1

Simplifying
a = 1

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