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

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Solution for 6(a-7)+14=4(a-4) equation:


Simplifying
6(a + -7) + 14 = 4(a + -4)

Reorder the terms:
6(-7 + a) + 14 = 4(a + -4)
(-7 * 6 + a * 6) + 14 = 4(a + -4)
(-42 + 6a) + 14 = 4(a + -4)

Reorder the terms:
-42 + 14 + 6a = 4(a + -4)

Combine like terms: -42 + 14 = -28
-28 + 6a = 4(a + -4)

Reorder the terms:
-28 + 6a = 4(-4 + a)
-28 + 6a = (-4 * 4 + a * 4)
-28 + 6a = (-16 + 4a)

Solving
-28 + 6a = -16 + 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.
-28 + 6a + -4a = -16 + 4a + -4a

Combine like terms: 6a + -4a = 2a
-28 + 2a = -16 + 4a + -4a

Combine like terms: 4a + -4a = 0
-28 + 2a = -16 + 0
-28 + 2a = -16

Add '28' to each side of the equation.
-28 + 28 + 2a = -16 + 28

Combine like terms: -28 + 28 = 0
0 + 2a = -16 + 28
2a = -16 + 28

Combine like terms: -16 + 28 = 12
2a = 12

Divide each side by '2'.
a = 6

Simplifying
a = 6

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