7(a-8)+23=3(a-7)

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Solution for 7(a-8)+23=3(a-7) equation:


Simplifying
7(a + -8) + 23 = 3(a + -7)

Reorder the terms:
7(-8 + a) + 23 = 3(a + -7)
(-8 * 7 + a * 7) + 23 = 3(a + -7)
(-56 + 7a) + 23 = 3(a + -7)

Reorder the terms:
-56 + 23 + 7a = 3(a + -7)

Combine like terms: -56 + 23 = -33
-33 + 7a = 3(a + -7)

Reorder the terms:
-33 + 7a = 3(-7 + a)
-33 + 7a = (-7 * 3 + a * 3)
-33 + 7a = (-21 + 3a)

Solving
-33 + 7a = -21 + 3a

Solving for variable 'a'.

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

Add '-3a' to each side of the equation.
-33 + 7a + -3a = -21 + 3a + -3a

Combine like terms: 7a + -3a = 4a
-33 + 4a = -21 + 3a + -3a

Combine like terms: 3a + -3a = 0
-33 + 4a = -21 + 0
-33 + 4a = -21

Add '33' to each side of the equation.
-33 + 33 + 4a = -21 + 33

Combine like terms: -33 + 33 = 0
0 + 4a = -21 + 33
4a = -21 + 33

Combine like terms: -21 + 33 = 12
4a = 12

Divide each side by '4'.
a = 3

Simplifying
a = 3

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