-3(a-7)=-5a+11

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Solution for -3(a-7)=-5a+11 equation:


Simplifying
-3(a + -7) = -5a + 11

Reorder the terms:
-3(-7 + a) = -5a + 11
(-7 * -3 + a * -3) = -5a + 11
(21 + -3a) = -5a + 11

Reorder the terms:
21 + -3a = 11 + -5a

Solving
21 + -3a = 11 + -5a

Solving for variable 'a'.

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

Add '5a' to each side of the equation.
21 + -3a + 5a = 11 + -5a + 5a

Combine like terms: -3a + 5a = 2a
21 + 2a = 11 + -5a + 5a

Combine like terms: -5a + 5a = 0
21 + 2a = 11 + 0
21 + 2a = 11

Add '-21' to each side of the equation.
21 + -21 + 2a = 11 + -21

Combine like terms: 21 + -21 = 0
0 + 2a = 11 + -21
2a = 11 + -21

Combine like terms: 11 + -21 = -10
2a = -10

Divide each side by '2'.
a = -5

Simplifying
a = -5

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