7+4(a-3)=14(-a+4)

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Solution for 7+4(a-3)=14(-a+4) equation:


Simplifying
7 + 4(a + -3) = 14(-1a + 4)

Reorder the terms:
7 + 4(-3 + a) = 14(-1a + 4)
7 + (-3 * 4 + a * 4) = 14(-1a + 4)
7 + (-12 + 4a) = 14(-1a + 4)

Combine like terms: 7 + -12 = -5
-5 + 4a = 14(-1a + 4)

Reorder the terms:
-5 + 4a = 14(4 + -1a)
-5 + 4a = (4 * 14 + -1a * 14)
-5 + 4a = (56 + -14a)

Solving
-5 + 4a = 56 + -14a

Solving for variable 'a'.

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

Add '14a' to each side of the equation.
-5 + 4a + 14a = 56 + -14a + 14a

Combine like terms: 4a + 14a = 18a
-5 + 18a = 56 + -14a + 14a

Combine like terms: -14a + 14a = 0
-5 + 18a = 56 + 0
-5 + 18a = 56

Add '5' to each side of the equation.
-5 + 5 + 18a = 56 + 5

Combine like terms: -5 + 5 = 0
0 + 18a = 56 + 5
18a = 56 + 5

Combine like terms: 56 + 5 = 61
18a = 61

Divide each side by '18'.
a = 3.388888889

Simplifying
a = 3.388888889

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