14a-7(a+1)=4(a-2)

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Solution for 14a-7(a+1)=4(a-2) equation:


Simplifying
14a + -7(a + 1) = 4(a + -2)

Reorder the terms:
14a + -7(1 + a) = 4(a + -2)
14a + (1 * -7 + a * -7) = 4(a + -2)
14a + (-7 + -7a) = 4(a + -2)

Reorder the terms:
-7 + 14a + -7a = 4(a + -2)

Combine like terms: 14a + -7a = 7a
-7 + 7a = 4(a + -2)

Reorder the terms:
-7 + 7a = 4(-2 + a)
-7 + 7a = (-2 * 4 + a * 4)
-7 + 7a = (-8 + 4a)

Solving
-7 + 7a = -8 + 4a

Solving for variable 'a'.

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

Add '-4a' to each side of the equation.
-7 + 7a + -4a = -8 + 4a + -4a

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

Combine like terms: 4a + -4a = 0
-7 + 3a = -8 + 0
-7 + 3a = -8

Add '7' to each side of the equation.
-7 + 7 + 3a = -8 + 7

Combine like terms: -7 + 7 = 0
0 + 3a = -8 + 7
3a = -8 + 7

Combine like terms: -8 + 7 = -1
3a = -1

Divide each side by '3'.
a = -0.3333333333

Simplifying
a = -0.3333333333

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