7(4-8)=3(a-4)

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Solution for 7(4-8)=3(a-4) equation:


Simplifying
7(4 + -8) = 3(a + -4)

Combine like terms: 4 + -8 = -4
7(-4) = 3(a + -4)

Multiply 7 * -4
-28 = 3(a + -4)

Reorder the terms:
-28 = 3(-4 + a)
-28 = (-4 * 3 + a * 3)
-28 = (-12 + 3a)

Solving
-28 = -12 + 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.
-28 + -3a = -12 + 3a + -3a

Combine like terms: 3a + -3a = 0
-28 + -3a = -12 + 0
-28 + -3a = -12

Add '28' to each side of the equation.
-28 + 28 + -3a = -12 + 28

Combine like terms: -28 + 28 = 0
0 + -3a = -12 + 28
-3a = -12 + 28

Combine like terms: -12 + 28 = 16
-3a = 16

Divide each side by '-3'.
a = -5.333333333

Simplifying
a = -5.333333333

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