7(4-9)=3(a-4)

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Solution for 7(4-9)=3(a-4) equation:


Simplifying
7(4 + -9) = 3(a + -4)

Combine like terms: 4 + -9 = -5
7(-5) = 3(a + -4)

Multiply 7 * -5
-35 = 3(a + -4)

Reorder the terms:
-35 = 3(-4 + a)
-35 = (-4 * 3 + a * 3)
-35 = (-12 + 3a)

Solving
-35 = -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.
-35 + -3a = -12 + 3a + -3a

Combine like terms: 3a + -3a = 0
-35 + -3a = -12 + 0
-35 + -3a = -12

Add '35' to each side of the equation.
-35 + 35 + -3a = -12 + 35

Combine like terms: -35 + 35 = 0
0 + -3a = -12 + 35
-3a = -12 + 35

Combine like terms: -12 + 35 = 23
-3a = 23

Divide each side by '-3'.
a = -7.666666667

Simplifying
a = -7.666666667

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