-5a+22=4(5a-7)

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Solution for -5a+22=4(5a-7) equation:


Simplifying
-5a + 22 = 4(5a + -7)

Reorder the terms:
22 + -5a = 4(5a + -7)

Reorder the terms:
22 + -5a = 4(-7 + 5a)
22 + -5a = (-7 * 4 + 5a * 4)
22 + -5a = (-28 + 20a)

Solving
22 + -5a = -28 + 20a

Solving for variable 'a'.

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

Add '-20a' to each side of the equation.
22 + -5a + -20a = -28 + 20a + -20a

Combine like terms: -5a + -20a = -25a
22 + -25a = -28 + 20a + -20a

Combine like terms: 20a + -20a = 0
22 + -25a = -28 + 0
22 + -25a = -28

Add '-22' to each side of the equation.
22 + -22 + -25a = -28 + -22

Combine like terms: 22 + -22 = 0
0 + -25a = -28 + -22
-25a = -28 + -22

Combine like terms: -28 + -22 = -50
-25a = -50

Divide each side by '-25'.
a = 2

Simplifying
a = 2

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