5a-7=-7+2(a+3)

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Solution for 5a-7=-7+2(a+3) equation:


Simplifying
5a + -7 = -7 + 2(a + 3)

Reorder the terms:
-7 + 5a = -7 + 2(a + 3)

Reorder the terms:
-7 + 5a = -7 + 2(3 + a)
-7 + 5a = -7 + (3 * 2 + a * 2)
-7 + 5a = -7 + (6 + 2a)

Combine like terms: -7 + 6 = -1
-7 + 5a = -1 + 2a

Solving
-7 + 5a = -1 + 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.
-7 + 5a + -2a = -1 + 2a + -2a

Combine like terms: 5a + -2a = 3a
-7 + 3a = -1 + 2a + -2a

Combine like terms: 2a + -2a = 0
-7 + 3a = -1 + 0
-7 + 3a = -1

Add '7' to each side of the equation.
-7 + 7 + 3a = -1 + 7

Combine like terms: -7 + 7 = 0
0 + 3a = -1 + 7
3a = -1 + 7

Combine like terms: -1 + 7 = 6
3a = 6

Divide each side by '3'.
a = 2

Simplifying
a = 2

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